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Finding the Third Proportional to 138,520.13 and 298,414.13

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Solution

The third proportional to 138,520.13 and 298,414.13 is: 642,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520.13 : 298,414.13 = 298,414.13 : x
  2. Step 2: Convert to fraction form
    138,520.13/298,414.13 = 298,414.13/x
  3. Step 3: Cross multiply
    138,520.13x = 298,414.13 × 298,414.13
  4. Step 4: Simplify right side
    138,520.13x = 89,050,989,999.52
  5. Step 5: Solve for x
    x = 89,050,989,999.52/138,520.13
  6. Step 6: Final answer
    x = 642,874.02

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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.