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Finding the Third Proportional to 159,311.75 and 332,565.75

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Solution

The third proportional to 159,311.75 and 332,565.75 is: 694,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.75 : 332,565.75 = 332,565.75 : x
  2. Step 2: Convert to fraction form
    159,311.75/332,565.75 = 332,565.75/x
  3. Step 3: Cross multiply
    159,311.75x = 332,565.75 × 332,565.75
  4. Step 4: Simplify right side
    159,311.75x = 110,599,978,073.06
  5. Step 5: Solve for x
    x = 110,599,978,073.06/159,311.75
  6. Step 6: Final answer
    x = 694,236.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.