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Finding the Third Proportional to 156,382 and 337,562

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Solution

The third proportional to 156,382 and 337,562 is: 728,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,382 : 337,562 = 337,562 : x
  2. Step 2: Convert to fraction form
    156,382/337,562 = 337,562/x
  3. Step 3: Cross multiply
    156,382x = 337,562 × 337,562
  4. Step 4: Simplify right side
    156,382x = 113,948,103,844
  5. Step 5: Solve for x
    x = 113,948,103,844/156,382
  6. Step 6: Final answer
    x = 728,652.30

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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.