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Finding the Third Proportional to 138,170.25 and 202,722.75

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Solution

The third proportional to 138,170.25 and 202,722.75 is: 297,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,170.25 : 202,722.75 = 202,722.75 : x
  2. Step 2: Convert to fraction form
    138,170.25/202,722.75 = 202,722.75/x
  3. Step 3: Cross multiply
    138,170.25x = 202,722.75 × 202,722.75
  4. Step 4: Simplify right side
    138,170.25x = 41,096,513,367.56
  5. Step 5: Solve for x
    x = 41,096,513,367.56/138,170.25
  6. Step 6: Final answer
    x = 297,433.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.