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Finding the Third Proportional to 127.69 and 231.19

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Solution

The third proportional to 127.69 and 231.19 is: 418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.69 : 231.19 = 231.19 : x
  2. Step 2: Convert to fraction form
    127.69/231.19 = 231.19/x
  3. Step 3: Cross multiply
    127.69x = 231.19 × 231.19
  4. Step 4: Simplify right side
    127.69x = 53,447.66
  5. Step 5: Solve for x
    x = 53,447.66/127.69
  6. Step 6: Final answer
    x = 418.58

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.