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Finding the Third Proportional to 171,625.50 and 267,894

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Solution

The third proportional to 171,625.50 and 267,894 is: 418,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625.50 : 267,894 = 267,894 : x
  2. Step 2: Convert to fraction form
    171,625.50/267,894 = 267,894/x
  3. Step 3: Cross multiply
    171,625.50x = 267,894 × 267,894
  4. Step 4: Simplify right side
    171,625.50x = 71,767,195,236
  5. Step 5: Solve for x
    x = 71,767,195,236/171,625.50
  6. Step 6: Final answer
    x = 418,161.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.