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Finding the Third Proportional to 230.25 and 281.25

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Solution

The third proportional to 230.25 and 281.25 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 281.25 = 281.25 : x
  2. Step 2: Convert to fraction form
    230.25/281.25 = 281.25/x
  3. Step 3: Cross multiply
    230.25x = 281.25 × 281.25
  4. Step 4: Simplify right side
    230.25x = 79,101.56
  5. Step 5: Solve for x
    x = 79,101.56/230.25
  6. Step 6: Final answer
    x = 343.55

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.