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Finding the Third Proportional to 156,404 and 337,126

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Solution

The third proportional to 156,404 and 337,126 is: 726,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,404 : 337,126 = 337,126 : x
  2. Step 2: Convert to fraction form
    156,404/337,126 = 337,126/x
  3. Step 3: Cross multiply
    156,404x = 337,126 × 337,126
  4. Step 4: Simplify right side
    156,404x = 113,653,939,876
  5. Step 5: Solve for x
    x = 113,653,939,876/156,404
  6. Step 6: Final answer
    x = 726,669.01

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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.