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Finding the Third Proportional to 234.14 and 341.09

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Solution

The third proportional to 234.14 and 341.09 is: 496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 341.09 = 341.09 : x
  2. Step 2: Convert to fraction form
    234.14/341.09 = 341.09/x
  3. Step 3: Cross multiply
    234.14x = 341.09 × 341.09
  4. Step 4: Simplify right side
    234.14x = 116,339.62
  5. Step 5: Solve for x
    x = 116,339.62/234.14
  6. Step 6: Final answer
    x = 496.88

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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.