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Finding the Third Proportional to 235.97 and 343.41

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Solution

The third proportional to 235.97 and 343.41 is: 499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.97 : 343.41 = 343.41 : x
  2. Step 2: Convert to fraction form
    235.97/343.41 = 343.41/x
  3. Step 3: Cross multiply
    235.97x = 343.41 × 343.41
  4. Step 4: Simplify right side
    235.97x = 117,927.85
  5. Step 5: Solve for x
    x = 117,927.85/235.97
  6. Step 6: Final answer
    x = 499.76

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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.