Finding the Third Proportional to 271,471.50 and 296,082
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Solution
The third proportional to 271,471.50 and 296,082 is: 322,923.59
Step by Step Solution
- Step 1: Write the proportion equation
271,471.50 : 296,082 = 296,082 : x - Step 2: Convert to fraction form
271,471.50/296,082 = 296,082/x - Step 3: Cross multiply
271,471.50x = 296,082 × 296,082 - Step 4: Simplify right side
271,471.50x = 87,664,550,724 - Step 5: Solve for x
x = 87,664,550,724/271,471.50 - Step 6: Final answer
x = 322,923.59
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.