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Finding the Third Proportional to 234,180 and 515,016

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Solution

The third proportional to 234,180 and 515,016 is: 1,132,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,180 : 515,016 = 515,016 : x
  2. Step 2: Convert to fraction form
    234,180/515,016 = 515,016/x
  3. Step 3: Cross multiply
    234,180x = 515,016 × 515,016
  4. Step 4: Simplify right side
    234,180x = 265,241,480,256
  5. Step 5: Solve for x
    x = 265,241,480,256/234,180
  6. Step 6: Final answer
    x = 1,132,639.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.