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Finding the Third Proportional to 156,472 and 337,885

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Solution

The third proportional to 156,472 and 337,885 is: 729,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,472 : 337,885 = 337,885 : x
  2. Step 2: Convert to fraction form
    156,472/337,885 = 337,885/x
  3. Step 3: Cross multiply
    156,472x = 337,885 × 337,885
  4. Step 4: Simplify right side
    156,472x = 114,166,273,225
  5. Step 5: Solve for x
    x = 114,166,273,225/156,472
  6. Step 6: Final answer
    x = 729,627.49

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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.