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Finding the Third Proportional to 120.75 and 263.69

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Solution

The third proportional to 120.75 and 263.69 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 263.69 = 263.69 : x
  2. Step 2: Convert to fraction form
    120.75/263.69 = 263.69/x
  3. Step 3: Cross multiply
    120.75x = 263.69 × 263.69
  4. Step 4: Simplify right side
    120.75x = 69,531.10
  5. Step 5: Solve for x
    x = 69,531.10/120.75
  6. Step 6: Final answer
    x = 575.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.