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Finding the Third Proportional to 155,960 and 337,838

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Solution

The third proportional to 155,960 and 337,838 is: 731,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,960 : 337,838 = 337,838 : x
  2. Step 2: Convert to fraction form
    155,960/337,838 = 337,838/x
  3. Step 3: Cross multiply
    155,960x = 337,838 × 337,838
  4. Step 4: Simplify right side
    155,960x = 114,134,514,244
  5. Step 5: Solve for x
    x = 114,134,514,244/155,960
  6. Step 6: Final answer
    x = 731,819.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.