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Finding the Third Proportional to 175,107.50 and 267,744.75

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Solution

The third proportional to 175,107.50 and 267,744.75 is: 409,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,107.50 : 267,744.75 = 267,744.75 : x
  2. Step 2: Convert to fraction form
    175,107.50/267,744.75 = 267,744.75/x
  3. Step 3: Cross multiply
    175,107.50x = 267,744.75 × 267,744.75
  4. Step 4: Simplify right side
    175,107.50x = 71,687,251,152.56
  5. Step 5: Solve for x
    x = 71,687,251,152.56/175,107.50
  6. Step 6: Final answer
    x = 409,389.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.