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Finding the Third Proportional to 156,074 and 337,108

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Solution

The third proportional to 156,074 and 337,108 is: 728,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,074 : 337,108 = 337,108 : x
  2. Step 2: Convert to fraction form
    156,074/337,108 = 337,108/x
  3. Step 3: Cross multiply
    156,074x = 337,108 × 337,108
  4. Step 4: Simplify right side
    156,074x = 113,641,803,664
  5. Step 5: Solve for x
    x = 113,641,803,664/156,074
  6. Step 6: Final answer
    x = 728,127.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.