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Finding the Third Proportional to 233.63 and 267.75

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Solution

The third proportional to 233.63 and 267.75 is: 306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 267.75 = 267.75 : x
  2. Step 2: Convert to fraction form
    233.63/267.75 = 267.75/x
  3. Step 3: Cross multiply
    233.63x = 267.75 × 267.75
  4. Step 4: Simplify right side
    233.63x = 71,690.06
  5. Step 5: Solve for x
    x = 71,690.06/233.63
  6. Step 6: Final answer
    x = 306.86

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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.