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Finding the Third Proportional to 126,916 and 282,200

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Solution

The third proportional to 126,916 and 282,200 is: 627,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,916 : 282,200 = 282,200 : x
  2. Step 2: Convert to fraction form
    126,916/282,200 = 282,200/x
  3. Step 3: Cross multiply
    126,916x = 282,200 × 282,200
  4. Step 4: Simplify right side
    126,916x = 79,636,840,000
  5. Step 5: Solve for x
    x = 79,636,840,000/126,916
  6. Step 6: Final answer
    x = 627,476.76

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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.