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Finding the Third Proportional to 234.38 and 359.63

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Solution

The third proportional to 234.38 and 359.63 is: 551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 359.63 = 359.63 : x
  2. Step 2: Convert to fraction form
    234.38/359.63 = 359.63/x
  3. Step 3: Cross multiply
    234.38x = 359.63 × 359.63
  4. Step 4: Simplify right side
    234.38x = 129,330.14
  5. Step 5: Solve for x
    x = 129,330.14/234.38
  6. Step 6: Final answer
    x = 551.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.