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Finding the Third Proportional to 271.69 and 367.45

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Solution

The third proportional to 271.69 and 367.45 is: 496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.69 : 367.45 = 367.45 : x
  2. Step 2: Convert to fraction form
    271.69/367.45 = 367.45/x
  3. Step 3: Cross multiply
    271.69x = 367.45 × 367.45
  4. Step 4: Simplify right side
    271.69x = 135,021.80
  5. Step 5: Solve for x
    x = 135,021.80/271.69
  6. Step 6: Final answer
    x = 496.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.