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Finding the Third Proportional to 195,934 and 400,166

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Solution

The third proportional to 195,934 and 400,166 is: 817,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,934 : 400,166 = 400,166 : x
  2. Step 2: Convert to fraction form
    195,934/400,166 = 400,166/x
  3. Step 3: Cross multiply
    195,934x = 400,166 × 400,166
  4. Step 4: Simplify right side
    195,934x = 160,132,827,556
  5. Step 5: Solve for x
    x = 160,132,827,556/195,934
  6. Step 6: Final answer
    x = 817,279.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.