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Finding the Third Proportional to 234,981 and 357,988.50

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Solution

The third proportional to 234,981 and 357,988.50 is: 545,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,981 : 357,988.50 = 357,988.50 : x
  2. Step 2: Convert to fraction form
    234,981/357,988.50 = 357,988.50/x
  3. Step 3: Cross multiply
    234,981x = 357,988.50 × 357,988.50
  4. Step 4: Simplify right side
    234,981x = 128,155,766,132.25
  5. Step 5: Solve for x
    x = 128,155,766,132.25/234,981
  6. Step 6: Final answer
    x = 545,387.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.