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Finding the Third Proportional to 234,387 and 331,870.50

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Solution

The third proportional to 234,387 and 331,870.50 is: 469,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,387 : 331,870.50 = 331,870.50 : x
  2. Step 2: Convert to fraction form
    234,387/331,870.50 = 331,870.50/x
  3. Step 3: Cross multiply
    234,387x = 331,870.50 × 331,870.50
  4. Step 4: Simplify right side
    234,387x = 110,138,028,770.25
  5. Step 5: Solve for x
    x = 110,138,028,770.25/234,387
  6. Step 6: Final answer
    x = 469,898.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.