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Finding the Third Proportional to 159,311.25 and 332,564.75

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Solution

The third proportional to 159,311.25 and 332,564.75 is: 694,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.25 : 332,564.75 = 332,564.75 : x
  2. Step 2: Convert to fraction form
    159,311.25/332,564.75 = 332,564.75/x
  3. Step 3: Cross multiply
    159,311.25x = 332,564.75 × 332,564.75
  4. Step 4: Simplify right side
    159,311.25x = 110,599,312,942.56
  5. Step 5: Solve for x
    x = 110,599,312,942.56/159,311.25
  6. Step 6: Final answer
    x = 694,234.17

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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.