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Finding the Third Proportional to 238.91 and 523.34

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Solution

The third proportional to 238.91 and 523.34 is: 1,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.91 : 523.34 = 523.34 : x
  2. Step 2: Convert to fraction form
    238.91/523.34 = 523.34/x
  3. Step 3: Cross multiply
    238.91x = 523.34 × 523.34
  4. Step 4: Simplify right side
    238.91x = 273,888.68
  5. Step 5: Solve for x
    x = 273,888.68/238.91
  6. Step 6: Final answer
    x = 1,146.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.