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Finding the Third Proportional to 230 and 266.75

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Solution

The third proportional to 230 and 266.75 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 266.75 = 266.75 : x
  2. Step 2: Convert to fraction form
    230/266.75 = 266.75/x
  3. Step 3: Cross multiply
    230x = 266.75 × 266.75
  4. Step 4: Simplify right side
    230x = 71,155.56
  5. Step 5: Solve for x
    x = 71,155.56/230
  6. Step 6: Final answer
    x = 309.37

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.