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Finding the Third Proportional to 198,720 and 291,744

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Solution

The third proportional to 198,720 and 291,744 is: 428,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,720 : 291,744 = 291,744 : x
  2. Step 2: Convert to fraction form
    198,720/291,744 = 291,744/x
  3. Step 3: Cross multiply
    198,720x = 291,744 × 291,744
  4. Step 4: Simplify right side
    198,720x = 85,114,561,536
  5. Step 5: Solve for x
    x = 85,114,561,536/198,720
  6. Step 6: Final answer
    x = 428,314.02

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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.