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Finding the Third Proportional to 269.27 and 365.42

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Solution

The third proportional to 269.27 and 365.42 is: 495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.27 : 365.42 = 365.42 : x
  2. Step 2: Convert to fraction form
    269.27/365.42 = 365.42/x
  3. Step 3: Cross multiply
    269.27x = 365.42 × 365.42
  4. Step 4: Simplify right side
    269.27x = 133,533.15
  5. Step 5: Solve for x
    x = 133,533.15/269.27
  6. Step 6: Final answer
    x = 495.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.