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Finding the Third Proportional to 231.44 and 339.06

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Solution

The third proportional to 231.44 and 339.06 is: 496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.44 : 339.06 = 339.06 : x
  2. Step 2: Convert to fraction form
    231.44/339.06 = 339.06/x
  3. Step 3: Cross multiply
    231.44x = 339.06 × 339.06
  4. Step 4: Simplify right side
    231.44x = 114,963.38
  5. Step 5: Solve for x
    x = 114,963.38/231.44
  6. Step 6: Final answer
    x = 496.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.