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Finding the Third Proportional to 118,498 and 261,016

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Solution

The third proportional to 118,498 and 261,016 is: 574,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,498 : 261,016 = 261,016 : x
  2. Step 2: Convert to fraction form
    118,498/261,016 = 261,016/x
  3. Step 3: Cross multiply
    118,498x = 261,016 × 261,016
  4. Step 4: Simplify right side
    118,498x = 68,129,352,256
  5. Step 5: Solve for x
    x = 68,129,352,256/118,498
  6. Step 6: Final answer
    x = 574,940.95

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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.