Calculate the square of the cubed root of 175 x 245.

The problem asks for "the square of the cubed root of $175 \times 245$".
This can be written as $(\sqrt[3]{175 \times 245})^2$.

We need to find $\sqrt[3]{42875}$.
To do this, we can find the prime factorization of 42875.

So, $42875 = 5 \times 5 \times 5 \times 343 = 5^3 \times 343$.
We know that $7^3 = 7 \times 7 \times 7 = 49 \times 7 = 343$.
Therefore, $42875 = 5^3 \times 7^3 = (5 \times 7)^3 = 35^3$.
The cubed root is:

We need to calculate $35^2$.

The calculated value is 1225.
The options are:
A 35
B 175
C 245
D 1225
E 42875

The correct option is D.

The final answer is $\boxed{\text{1225}}$.