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Finding the Third Proportional to 159,626.44 and 238,999.96

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Solution

The third proportional to 159,626.44 and 238,999.96 is: 357,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,626.44 : 238,999.96 = 238,999.96 : x
  2. Step 2: Convert to fraction form
    159,626.44/238,999.96 = 238,999.96/x
  3. Step 3: Cross multiply
    159,626.44x = 238,999.96 × 238,999.96
  4. Step 4: Simplify right side
    159,626.44x = 57,120,982,086.68
  5. Step 5: Solve for x
    x = 57,120,982,086.68/159,626.44
  6. Step 6: Final answer
    x = 357,841.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.