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Finding the Third Proportional to 229.97 and 340.41

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Solution

The third proportional to 229.97 and 340.41 is: 503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 340.41 = 340.41 : x
  2. Step 2: Convert to fraction form
    229.97/340.41 = 340.41/x
  3. Step 3: Cross multiply
    229.97x = 340.41 × 340.41
  4. Step 4: Simplify right side
    229.97x = 115,876.42
  5. Step 5: Solve for x
    x = 115,876.42/229.97
  6. Step 6: Final answer
    x = 503.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.