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Finding the Third Proportional to 122,520.75 and 263,814

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Solution

The third proportional to 122,520.75 and 263,814 is: 568,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,520.75 : 263,814 = 263,814 : x
  2. Step 2: Convert to fraction form
    122,520.75/263,814 = 263,814/x
  3. Step 3: Cross multiply
    122,520.75x = 263,814 × 263,814
  4. Step 4: Simplify right side
    122,520.75x = 69,597,826,596
  5. Step 5: Solve for x
    x = 69,597,826,596/122,520.75
  6. Step 6: Final answer
    x = 568,049.30

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