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Finding the Third Proportional to 237.87 and 367.61

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Solution

The third proportional to 237.87 and 367.61 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.87 : 367.61 = 367.61 : x
  2. Step 2: Convert to fraction form
    237.87/367.61 = 367.61/x
  3. Step 3: Cross multiply
    237.87x = 367.61 × 367.61
  4. Step 4: Simplify right side
    237.87x = 135,140.51
  5. Step 5: Solve for x
    x = 135,140.51/237.87
  6. Step 6: Final answer
    x = 568.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.