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Finding the Third Proportional to 242,677.50 and 372,468

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Solution

The third proportional to 242,677.50 and 372,468 is: 571,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,677.50 : 372,468 = 372,468 : x
  2. Step 2: Convert to fraction form
    242,677.50/372,468 = 372,468/x
  3. Step 3: Cross multiply
    242,677.50x = 372,468 × 372,468
  4. Step 4: Simplify right side
    242,677.50x = 138,732,411,024
  5. Step 5: Solve for x
    x = 138,732,411,024/242,677.50
  6. Step 6: Final answer
    x = 571,673.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.