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Finding the Third Proportional to 166,910 and 347,626

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Solution

The third proportional to 166,910 and 347,626 is: 724,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,910 : 347,626 = 347,626 : x
  2. Step 2: Convert to fraction form
    166,910/347,626 = 347,626/x
  3. Step 3: Cross multiply
    166,910x = 347,626 × 347,626
  4. Step 4: Simplify right side
    166,910x = 120,843,835,876
  5. Step 5: Solve for x
    x = 120,843,835,876/166,910
  6. Step 6: Final answer
    x = 724,005.97

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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.