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Finding the Third Proportional to 238.13 and 366.38

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Solution

The third proportional to 238.13 and 366.38 is: 563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 366.38 = 366.38 : x
  2. Step 2: Convert to fraction form
    238.13/366.38 = 366.38/x
  3. Step 3: Cross multiply
    238.13x = 366.38 × 366.38
  4. Step 4: Simplify right side
    238.13x = 134,230.64
  5. Step 5: Solve for x
    x = 134,230.64/238.13
  6. Step 6: Final answer
    x = 563.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.