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Finding the Third Proportional to 230.66 and 288.33

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Solution

The third proportional to 230.66 and 288.33 is: 360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 288.33 = 288.33 : x
  2. Step 2: Convert to fraction form
    230.66/288.33 = 288.33/x
  3. Step 3: Cross multiply
    230.66x = 288.33 × 288.33
  4. Step 4: Simplify right side
    230.66x = 83,131.42
  5. Step 5: Solve for x
    x = 83,131.42/230.66
  6. Step 6: Final answer
    x = 360.41

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.