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Finding the Third Proportional to 231.61 and 338.55

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Solution

The third proportional to 231.61 and 338.55 is: 494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.61 : 338.55 = 338.55 : x
  2. Step 2: Convert to fraction form
    231.61/338.55 = 338.55/x
  3. Step 3: Cross multiply
    231.61x = 338.55 × 338.55
  4. Step 4: Simplify right side
    231.61x = 114,619.28
  5. Step 5: Solve for x
    x = 114,619.28/231.61
  6. Step 6: Final answer
    x = 494.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.