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Finding the Third Proportional to 226.92 and 263.93

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Solution

The third proportional to 226.92 and 263.93 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 263.93 = 263.93 : x
  2. Step 2: Convert to fraction form
    226.92/263.93 = 263.93/x
  3. Step 3: Cross multiply
    226.92x = 263.93 × 263.93
  4. Step 4: Simplify right side
    226.92x = 69,658.88
  5. Step 5: Solve for x
    x = 69,658.88/226.92
  6. Step 6: Final answer
    x = 306.97

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.