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Finding the Third Proportional to 234.41 and 343.97

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Solution

The third proportional to 234.41 and 343.97 is: 504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.41 : 343.97 = 343.97 : x
  2. Step 2: Convert to fraction form
    234.41/343.97 = 343.97/x
  3. Step 3: Cross multiply
    234.41x = 343.97 × 343.97
  4. Step 4: Simplify right side
    234.41x = 118,314.50
  5. Step 5: Solve for x
    x = 118,314.50/234.41
  6. Step 6: Final answer
    x = 504.74

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