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Finding the Third Proportional to 140,217 and 217,527.38

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Solution

The third proportional to 140,217 and 217,527.38 is: 337,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,217 : 217,527.38 = 217,527.38 : x
  2. Step 2: Convert to fraction form
    140,217/217,527.38 = 217,527.38/x
  3. Step 3: Cross multiply
    140,217x = 217,527.38 × 217,527.38
  4. Step 4: Simplify right side
    140,217x = 47,318,158,874.39
  5. Step 5: Solve for x
    x = 47,318,158,874.39/140,217
  6. Step 6: Final answer
    x = 337,463.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.