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Finding the Third Proportional to 160,976 and 244,912

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Solution

The third proportional to 160,976 and 244,912 is: 372,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,976 : 244,912 = 244,912 : x
  2. Step 2: Convert to fraction form
    160,976/244,912 = 244,912/x
  3. Step 3: Cross multiply
    160,976x = 244,912 × 244,912
  4. Step 4: Simplify right side
    160,976x = 59,981,887,744
  5. Step 5: Solve for x
    x = 59,981,887,744/160,976
  6. Step 6: Final answer
    x = 372,613.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.