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Finding the Third Proportional to 231 and 344

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Solution

The third proportional to 231 and 344 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 344 = 344 : x
  2. Step 2: Convert to fraction form
    231/344 = 344/x
  3. Step 3: Cross multiply
    231x = 344 × 344
  4. Step 4: Simplify right side
    231x = 118,336
  5. Step 5: Solve for x
    x = 118,336/231
  6. Step 6: Final answer
    x = 512.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.