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Finding the Third Proportional to 138,540.38 and 298,452.09

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Solution

The third proportional to 138,540.38 and 298,452.09 is: 642,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540.38 : 298,452.09 = 298,452.09 : x
  2. Step 2: Convert to fraction form
    138,540.38/298,452.09 = 298,452.09/x
  3. Step 3: Cross multiply
    138,540.38x = 298,452.09 × 298,452.09
  4. Step 4: Simplify right side
    138,540.38x = 89,073,652,263.76
  5. Step 5: Solve for x
    x = 89,073,652,263.76/138,540.38
  6. Step 6: Final answer
    x = 642,943.63

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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.