The problem asks us to find the value of a number denoted as N, given that the product of 0.225, 0.36, and N equals 243.

Setting up the Equation

We can represent the given information as a mathematical equation:

$0.225 \times 0.36 \times N = 243$

Calculating the Product of Decimals

First, let's find the product of the two given decimal numbers, 0.225 and 0.36.

$0.225 \times 0.36 = 0.081$

To verify:

$ \frac{225}{1000} \times \frac{36}{100} = \frac{225 \times 36}{1000 \times 100} = \frac{8100}{100000} = 0.081 $

Solving for Number N

Now, substitute this product back into the equation:

$0.081 \times N = 243$

To find the value of N, we need to divide 243 by 0.081:

$N = \frac{243}{0.081}$

To simplify the division, we can multiply the numerator and denominator by 1000 to remove the decimal:

$N = \frac{243 \times 1000}{0.081 \times 1000} = \frac{243000}{81}$

Now, perform the division:

$N = 3000$

Conclusion

The value of the number N is 3000.