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Finding the Third Proportional to 166,872 and 347,550

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Solution

The third proportional to 166,872 and 347,550 is: 723,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,872 : 347,550 = 347,550 : x
  2. Step 2: Convert to fraction form
    166,872/347,550 = 347,550/x
  3. Step 3: Cross multiply
    166,872x = 347,550 × 347,550
  4. Step 4: Simplify right side
    166,872x = 120,791,002,500
  5. Step 5: Solve for x
    x = 120,791,002,500/166,872
  6. Step 6: Final answer
    x = 723,854.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.