Solve 1:120.3=2/10^3:x/1000

$$1 : 120.3 = \frac { 2 } { 10 ^ { 3 } } : \frac { x } { 1000 }$$

Solve for x

$$x=240.6$$

Steps for Solving Linear Equation

Expand \frac{1}{120.3} by multiplying both numerator and the denominator by 10.

$$\frac{10}{1203}=\frac{\frac{2}{10^{3}}}{\frac{x}{1000}}$$

Divide \frac{2}{10^{3}} by \frac{x}{1000} by multiplying \frac{2}{10^{3}} by the reciprocal of \frac{x}{1000}.

$$\frac{10}{1203}=\frac{2\times 1000}{10^{3}x}$$

Multiply 2 and 1000 to get 2000.

$$\frac{10}{1203}=\frac{2000}{10^{3}x}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{10}{1203}=\frac{2000}{1000x}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{2000}{1000x}=\frac{10}{1203}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 1203000x, the least common multiple of 1000x,1203.

$$1203\times 2000=10000x$$

Multiply 1203 and 2000 to get 2406000.

$$2406000=10000x$$

Swap sides so that all variable terms are on the left hand side.

$$10000x=2406000$$

Divide both sides by 10000.

$$x=\frac{2406000}{10000}$$

Reduce the fraction \frac{2406000}{10000} to lowest terms by extracting and canceling out 2000.

$$x=\frac{1203}{5}$$