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Finding the Third Proportional to 107.38 and 231.63

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Solution

The third proportional to 107.38 and 231.63 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 231.63 = 231.63 : x
  2. Step 2: Convert to fraction form
    107.38/231.63 = 231.63/x
  3. Step 3: Cross multiply
    107.38x = 231.63 × 231.63
  4. Step 4: Simplify right side
    107.38x = 53,650.14
  5. Step 5: Solve for x
    x = 53,650.14/107.38
  6. Step 6: Final answer
    x = 499.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.