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Finding the Third Proportional to 126,918 and 282,204

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Solution

The third proportional to 126,918 and 282,204 is: 627,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,918 : 282,204 = 282,204 : x
  2. Step 2: Convert to fraction form
    126,918/282,204 = 282,204/x
  3. Step 3: Cross multiply
    126,918x = 282,204 × 282,204
  4. Step 4: Simplify right side
    126,918x = 79,639,097,616
  5. Step 5: Solve for x
    x = 79,639,097,616/126,918
  6. Step 6: Final answer
    x = 627,484.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.