Express each of the following in terms of \(\log _ { 10 } x\) and \(\log _ { 10 } y\).
(a) \(\log _ { 10 } \left( \frac { x } { y } \right)\)
(b) \(\log _ { 10 } \left( 10 x ^ { 2 } y \right)\)
Given that
$$2 \log _ { 10 } \left( \frac { x } { y } \right) = 1 + \log _ { 10 } \left( 10 x ^ { 2 } y \right)$$
find the value of \(y\) correct to 3 decimal places.