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Finding the Third Proportional to 201.33 and 216.52

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Solution

The third proportional to 201.33 and 216.52 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.33 : 216.52 = 216.52 : x
  2. Step 2: Convert to fraction form
    201.33/216.52 = 216.52/x
  3. Step 3: Cross multiply
    201.33x = 216.52 × 216.52
  4. Step 4: Simplify right side
    201.33x = 46,879.02
  5. Step 5: Solve for x
    x = 46,879.02/201.33
  6. Step 6: Final answer
    x = 232.85

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.