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Finding the Third Proportional to 118,344 and 258,801

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Solution

The third proportional to 118,344 and 258,801 is: 565,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,344 : 258,801 = 258,801 : x
  2. Step 2: Convert to fraction form
    118,344/258,801 = 258,801/x
  3. Step 3: Cross multiply
    118,344x = 258,801 × 258,801
  4. Step 4: Simplify right side
    118,344x = 66,977,957,601
  5. Step 5: Solve for x
    x = 66,977,957,601/118,344
  6. Step 6: Final answer
    x = 565,959.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.