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Finding the Third Proportional to 234.42 and 341.02

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Solution

The third proportional to 234.42 and 341.02 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 341.02 = 341.02 : x
  2. Step 2: Convert to fraction form
    234.42/341.02 = 341.02/x
  3. Step 3: Cross multiply
    234.42x = 341.02 × 341.02
  4. Step 4: Simplify right side
    234.42x = 116,291.66
  5. Step 5: Solve for x
    x = 116,291.66/234.42
  6. Step 6: Final answer
    x = 496.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.