Finding the Third Proportional to 271,957.50 and 382,299.75
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Solution
The third proportional to 271,957.50 and 382,299.75 is: 537,411.54
Step by Step Solution
- Step 1: Write the proportion equation
271,957.50 : 382,299.75 = 382,299.75 : x - Step 2: Convert to fraction form
271,957.50/382,299.75 = 382,299.75/x - Step 3: Cross multiply
271,957.50x = 382,299.75 × 382,299.75 - Step 4: Simplify right side
271,957.50x = 146,153,098,850.06 - Step 5: Solve for x
x = 146,153,098,850.06/271,957.50 - Step 6: Final answer
x = 537,411.54
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.