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Finding the Third Proportional to 153,934 and 222,741

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Solution

The third proportional to 153,934 and 222,741 is: 322,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,934 : 222,741 = 222,741 : x
  2. Step 2: Convert to fraction form
    153,934/222,741 = 222,741/x
  3. Step 3: Cross multiply
    153,934x = 222,741 × 222,741
  4. Step 4: Simplify right side
    153,934x = 49,613,553,081
  5. Step 5: Solve for x
    x = 49,613,553,081/153,934
  6. Step 6: Final answer
    x = 322,304.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.