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Finding the Third Proportional to 156,467 and 337,877

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Solution

The third proportional to 156,467 and 337,877 is: 729,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,467 : 337,877 = 337,877 : x
  2. Step 2: Convert to fraction form
    156,467/337,877 = 337,877/x
  3. Step 3: Cross multiply
    156,467x = 337,877 × 337,877
  4. Step 4: Simplify right side
    156,467x = 114,160,867,129
  5. Step 5: Solve for x
    x = 114,160,867,129/156,467
  6. Step 6: Final answer
    x = 729,616.26

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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.