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Finding the Third Proportional to 156,779 and 234,801

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Solution

The third proportional to 156,779 and 234,801 is: 351,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,779 : 234,801 = 234,801 : x
  2. Step 2: Convert to fraction form
    156,779/234,801 = 234,801/x
  3. Step 3: Cross multiply
    156,779x = 234,801 × 234,801
  4. Step 4: Simplify right side
    156,779x = 55,131,509,601
  5. Step 5: Solve for x
    x = 55,131,509,601/156,779
  6. Step 6: Final answer
    x = 351,651.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.