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Finding the Third Proportional to 198,975 and 308,551

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Solution

The third proportional to 198,975 and 308,551 is: 478,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,975 : 308,551 = 308,551 : x
  2. Step 2: Convert to fraction form
    198,975/308,551 = 308,551/x
  3. Step 3: Cross multiply
    198,975x = 308,551 × 308,551
  4. Step 4: Simplify right side
    198,975x = 95,203,719,601
  5. Step 5: Solve for x
    x = 95,203,719,601/198,975
  6. Step 6: Final answer
    x = 478,470.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.