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Finding the Third Proportional to 256,543.88 and 377,092.13

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Solution

The third proportional to 256,543.88 and 377,092.13 is: 554,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543.88 : 377,092.13 = 377,092.13 : x
  2. Step 2: Convert to fraction form
    256,543.88/377,092.13 = 377,092.13/x
  3. Step 3: Cross multiply
    256,543.88x = 377,092.13 × 377,092.13
  4. Step 4: Simplify right side
    256,543.88x = 142,198,470,737.02
  5. Step 5: Solve for x
    x = 142,198,470,737.02/256,543.88
  6. Step 6: Final answer
    x = 554,285.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.