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Finding the Third Proportional to 131,722 and 198,744

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Solution

The third proportional to 131,722 and 198,744 is: 299,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,722 : 198,744 = 198,744 : x
  2. Step 2: Convert to fraction form
    131,722/198,744 = 198,744/x
  3. Step 3: Cross multiply
    131,722x = 198,744 × 198,744
  4. Step 4: Simplify right side
    131,722x = 39,499,177,536
  5. Step 5: Solve for x
    x = 39,499,177,536/131,722
  6. Step 6: Final answer
    x = 299,867.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.