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Finding the Third Proportional to 175,414.50 and 244,397.25

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Solution

The third proportional to 175,414.50 and 244,397.25 is: 340,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,414.50 : 244,397.25 = 244,397.25 : x
  2. Step 2: Convert to fraction form
    175,414.50/244,397.25 = 244,397.25/x
  3. Step 3: Cross multiply
    175,414.50x = 244,397.25 × 244,397.25
  4. Step 4: Simplify right side
    175,414.50x = 59,730,015,807.56
  5. Step 5: Solve for x
    x = 59,730,015,807.56/175,414.50
  6. Step 6: Final answer
    x = 340,507.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.