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Finding the Third Proportional to 138,421.50 and 217,470

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Solution

The third proportional to 138,421.50 and 217,470 is: 341,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.50 : 217,470 = 217,470 : x
  2. Step 2: Convert to fraction form
    138,421.50/217,470 = 217,470/x
  3. Step 3: Cross multiply
    138,421.50x = 217,470 × 217,470
  4. Step 4: Simplify right side
    138,421.50x = 47,293,200,900
  5. Step 5: Solve for x
    x = 47,293,200,900/138,421.50
  6. Step 6: Final answer
    x = 341,660.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.