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Finding the Third Proportional to 118,498 and 188,452

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Solution

The third proportional to 118,498 and 188,452 is: 299,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,498 : 188,452 = 188,452 : x
  2. Step 2: Convert to fraction form
    118,498/188,452 = 188,452/x
  3. Step 3: Cross multiply
    118,498x = 188,452 × 188,452
  4. Step 4: Simplify right side
    118,498x = 35,514,156,304
  5. Step 5: Solve for x
    x = 35,514,156,304/118,498
  6. Step 6: Final answer
    x = 299,702.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.