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Finding the Third Proportional to 185,338 and 406,761

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Solution

The third proportional to 185,338 and 406,761 is: 892,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,338 : 406,761 = 406,761 : x
  2. Step 2: Convert to fraction form
    185,338/406,761 = 406,761/x
  3. Step 3: Cross multiply
    185,338x = 406,761 × 406,761
  4. Step 4: Simplify right side
    185,338x = 165,454,511,121
  5. Step 5: Solve for x
    x = 165,454,511,121/185,338
  6. Step 6: Final answer
    x = 892,717.69

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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.