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Finding the Third Proportional to 106.73 and 234.77

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Solution

The third proportional to 106.73 and 234.77 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.73 : 234.77 = 234.77 : x
  2. Step 2: Convert to fraction form
    106.73/234.77 = 234.77/x
  3. Step 3: Cross multiply
    106.73x = 234.77 × 234.77
  4. Step 4: Simplify right side
    106.73x = 55,118.57
  5. Step 5: Solve for x
    x = 55,118.57/106.73
  6. Step 6: Final answer
    x = 516.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.