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Finding the Third Proportional to 156,793 and 344,801

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Solution

The third proportional to 156,793 and 344,801 is: 758,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793 : 344,801 = 344,801 : x
  2. Step 2: Convert to fraction form
    156,793/344,801 = 344,801/x
  3. Step 3: Cross multiply
    156,793x = 344,801 × 344,801
  4. Step 4: Simplify right side
    156,793x = 118,887,729,601
  5. Step 5: Solve for x
    x = 118,887,729,601/156,793
  6. Step 6: Final answer
    x = 758,246.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.