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Finding the Third Proportional to 107,311.50 and 231,228.75

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Solution

The third proportional to 107,311.50 and 231,228.75 is: 498,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,311.50 : 231,228.75 = 231,228.75 : x
  2. Step 2: Convert to fraction form
    107,311.50/231,228.75 = 231,228.75/x
  3. Step 3: Cross multiply
    107,311.50x = 231,228.75 × 231,228.75
  4. Step 4: Simplify right side
    107,311.50x = 53,466,734,826.56
  5. Step 5: Solve for x
    x = 53,466,734,826.56/107,311.50
  6. Step 6: Final answer
    x = 498,238.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.