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Finding the Third Proportional to 202.22 and 232.73

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Solution

The third proportional to 202.22 and 232.73 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 232.73 = 232.73 : x
  2. Step 2: Convert to fraction form
    202.22/232.73 = 232.73/x
  3. Step 3: Cross multiply
    202.22x = 232.73 × 232.73
  4. Step 4: Simplify right side
    202.22x = 54,165.29
  5. Step 5: Solve for x
    x = 54,165.29/202.22
  6. Step 6: Final answer
    x = 267.85

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.