Determining the Resistance of an Electric Blanket

[Johny Prime]

Homework Statement

A typical electric blanket consumes 50 W of power when operating. What is the overall resistance of the blanket if it is designed to be plugged into a standard powerpoint?
Power = 50 watts
Voltage = 240 v (standard powerpoint)

Homework Equations

I (current) = Voltage/ Resistance
Power = V x I

The Attempt at a Solution

So we are trying to find the overall resistance:
R = V/I
R = 240/I
P/V = I ?
50/240 = I ?
I = 0.2083333 (I don't think that looks right)
So then, R= 240/0.2083333
R= 1152??
Resistance is 1152 ohms?
These answers seem very strange to me and I am uncertain as to whether my logic is sound or not.
If my logic is incorrect, could someone inform me of the logic of the correct way? Thanks!

 

[mfb]

It is correct.
Why does it seem strange to you?

 

[Johny Prime]

It is correct.
Why does it seem strange to you?

I wasn't sure because all the questions I had done before this had very small resistance (like 6), and I wasn't sure what an actual appliance might have in terms of resistance. Thanks for the confirmation!