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Finding the Third Proportional to 367.38 and 540.88

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Solution

The third proportional to 367.38 and 540.88 is: 796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 540.88 = 540.88 : x
  2. Step 2: Convert to fraction form
    367.38/540.88 = 540.88/x
  3. Step 3: Cross multiply
    367.38x = 540.88 × 540.88
  4. Step 4: Simplify right side
    367.38x = 292,545.77
  5. Step 5: Solve for x
    x = 292,545.77/367.38
  6. Step 6: Final answer
    x = 796.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.