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Finding the Third Proportional to 156,360 and 337,872

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Solution

The third proportional to 156,360 and 337,872 is: 730,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,360 : 337,872 = 337,872 : x
  2. Step 2: Convert to fraction form
    156,360/337,872 = 337,872/x
  3. Step 3: Cross multiply
    156,360x = 337,872 × 337,872
  4. Step 4: Simplify right side
    156,360x = 114,157,488,384
  5. Step 5: Solve for x
    x = 114,157,488,384/156,360
  6. Step 6: Final answer
    x = 730,093.94

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