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Finding the Third Proportional to 195,924.50 and 400,151

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Solution

The third proportional to 195,924.50 and 400,151 is: 817,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,924.50 : 400,151 = 400,151 : x
  2. Step 2: Convert to fraction form
    195,924.50/400,151 = 400,151/x
  3. Step 3: Cross multiply
    195,924.50x = 400,151 × 400,151
  4. Step 4: Simplify right side
    195,924.50x = 160,120,822,801
  5. Step 5: Solve for x
    x = 160,120,822,801/195,924.50
  6. Step 6: Final answer
    x = 817,257.78

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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.