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Finding the Third Proportional to 230.13 and 311.66

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Solution

The third proportional to 230.13 and 311.66 is: 422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 311.66 = 311.66 : x
  2. Step 2: Convert to fraction form
    230.13/311.66 = 311.66/x
  3. Step 3: Cross multiply
    230.13x = 311.66 × 311.66
  4. Step 4: Simplify right side
    230.13x = 97,132.05
  5. Step 5: Solve for x
    x = 97,132.05/230.13
  6. Step 6: Final answer
    x = 422.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.