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Finding the Third Proportional to 103.05 and 226.92

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Solution

The third proportional to 103.05 and 226.92 is: 499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.05 : 226.92 = 226.92 : x
  2. Step 2: Convert to fraction form
    103.05/226.92 = 226.92/x
  3. Step 3: Cross multiply
    103.05x = 226.92 × 226.92
  4. Step 4: Simplify right side
    103.05x = 51,493.87
  5. Step 5: Solve for x
    x = 51,493.87/103.05
  6. Step 6: Final answer
    x = 499.70

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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.