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Finding the Third Proportional to 171,331 and 266,750

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Solution

The third proportional to 171,331 and 266,750 is: 415,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,331 : 266,750 = 266,750 : x
  2. Step 2: Convert to fraction form
    171,331/266,750 = 266,750/x
  3. Step 3: Cross multiply
    171,331x = 266,750 × 266,750
  4. Step 4: Simplify right side
    171,331x = 71,155,562,500
  5. Step 5: Solve for x
    x = 71,155,562,500/171,331
  6. Step 6: Final answer
    x = 415,310.50

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Why These Related Problems?

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