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Finding the Third Proportional to 157,968 and 337,632

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Solution

The third proportional to 157,968 and 337,632 is: 721,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,968 : 337,632 = 337,632 : x
  2. Step 2: Convert to fraction form
    157,968/337,632 = 337,632/x
  3. Step 3: Cross multiply
    157,968x = 337,632 × 337,632
  4. Step 4: Simplify right side
    157,968x = 113,995,367,424
  5. Step 5: Solve for x
    x = 113,995,367,424/157,968
  6. Step 6: Final answer
    x = 721,635.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.