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Finding the Third Proportional to 171,193 and 381,725

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Solution

The third proportional to 171,193 and 381,725 is: 851,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,193 : 381,725 = 381,725 : x
  2. Step 2: Convert to fraction form
    171,193/381,725 = 381,725/x
  3. Step 3: Cross multiply
    171,193x = 381,725 × 381,725
  4. Step 4: Simplify right side
    171,193x = 145,713,975,625
  5. Step 5: Solve for x
    x = 145,713,975,625/171,193
  6. Step 6: Final answer
    x = 851,167.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.