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Finding the Third Proportional to 195,262.31 and 395,956.69

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Solution

The third proportional to 195,262.31 and 395,956.69 is: 802,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,262.31 : 395,956.69 = 395,956.69 : x
  2. Step 2: Convert to fraction form
    195,262.31/395,956.69 = 395,956.69/x
  3. Step 3: Cross multiply
    195,262.31x = 395,956.69 × 395,956.69
  4. Step 4: Simplify right side
    195,262.31x = 156,781,698,375.97
  5. Step 5: Solve for x
    x = 156,781,698,375.97/195,262.31
  6. Step 6: Final answer
    x = 802,928.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.