Finding the Third Proportional to 189,672 and 285,012
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Solution
The third proportional to 189,672 and 285,012 is: 428,275.34
Step by Step Solution
- Step 1: Write the proportion equation
189,672 : 285,012 = 285,012 : x - Step 2: Convert to fraction form
189,672/285,012 = 285,012/x - Step 3: Cross multiply
189,672x = 285,012 × 285,012 - Step 4: Simplify right side
189,672x = 81,231,840,144 - Step 5: Solve for x
x = 81,231,840,144/189,672 - Step 6: Final answer
x = 428,275.34
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.