MHB Can you prove this fraction problem with mean proportion?

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The discussion centers on proving the equation (a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4, given that b is the mean proportion between a and c. Participants seek clarification on the meaning of "mean proportion" in this context. One user expresses understanding of the problem after receiving assistance. The conversation highlights the importance of grasping the concept of mean proportion to solve the fraction problem effectively. Overall, the thread emphasizes collaborative problem-solving in mathematics.
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if b is the mean proportion between a and c ; prove that

(a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4
 
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Re: please help with this fraction problem

kuheli said:
if b is the mean proportion between a and c ; prove that

(a^2 - b^2 + c^2) / (a^-2 - b^-2 + c^-2) = b^4
Hello,
Do you got any progress?
do you know what they mean with "b is the mean proportion between a and c"
$$b^2=ac$$ put that on left side what do you got?

Regards,
$$|\pi\rangle$$
 
ya i got it .. thanks a lot :)
 

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