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Finding the Third Proportional to 155,959 and 337,837

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Solution

The third proportional to 155,959 and 337,837 is: 731,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,959 : 337,837 = 337,837 : x
  2. Step 2: Convert to fraction form
    155,959/337,837 = 337,837/x
  3. Step 3: Cross multiply
    155,959x = 337,837 × 337,837
  4. Step 4: Simplify right side
    155,959x = 114,133,838,569
  5. Step 5: Solve for x
    x = 114,133,838,569/155,959
  6. Step 6: Final answer
    x = 731,819.51

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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.