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Finding the Third Proportional to 156,512 and 337,486

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Solution

The third proportional to 156,512 and 337,486 is: 727,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,512 : 337,486 = 337,486 : x
  2. Step 2: Convert to fraction form
    156,512/337,486 = 337,486/x
  3. Step 3: Cross multiply
    156,512x = 337,486 × 337,486
  4. Step 4: Simplify right side
    156,512x = 113,896,800,196
  5. Step 5: Solve for x
    x = 113,896,800,196/156,512
  6. Step 6: Final answer
    x = 727,719.28

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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.