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Finding the Third Proportional to 138,500.25 and 297,688.13

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Solution

The third proportional to 138,500.25 and 297,688.13 is: 639,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,500.25 : 297,688.13 = 297,688.13 : x
  2. Step 2: Convert to fraction form
    138,500.25/297,688.13 = 297,688.13/x
  3. Step 3: Cross multiply
    138,500.25x = 297,688.13 × 297,688.13
  4. Step 4: Simplify right side
    138,500.25x = 88,618,219,766.02
  5. Step 5: Solve for x
    x = 88,618,219,766.02/138,500.25
  6. Step 6: Final answer
    x = 639,841.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.