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Finding the Third Proportional to 156,746 and 332,123

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Solution

The third proportional to 156,746 and 332,123 is: 703,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,746 : 332,123 = 332,123 : x
  2. Step 2: Convert to fraction form
    156,746/332,123 = 332,123/x
  3. Step 3: Cross multiply
    156,746x = 332,123 × 332,123
  4. Step 4: Simplify right side
    156,746x = 110,305,687,129
  5. Step 5: Solve for x
    x = 110,305,687,129/156,746
  6. Step 6: Final answer
    x = 703,722.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.