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Finding the Third Proportional to 201.88 and 231.88

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Solution

The third proportional to 201.88 and 231.88 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 231.88 = 231.88 : x
  2. Step 2: Convert to fraction form
    201.88/231.88 = 231.88/x
  3. Step 3: Cross multiply
    201.88x = 231.88 × 231.88
  4. Step 4: Simplify right side
    201.88x = 53,766.02
  5. Step 5: Solve for x
    x = 53,766.02/201.88
  6. Step 6: Final answer
    x = 266.33

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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.