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Finding the Third Proportional to 220.94 and 523.38

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Solution

The third proportional to 220.94 and 523.38 is: 1,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.94 : 523.38 = 523.38 : x
  2. Step 2: Convert to fraction form
    220.94/523.38 = 523.38/x
  3. Step 3: Cross multiply
    220.94x = 523.38 × 523.38
  4. Step 4: Simplify right side
    220.94x = 273,921.39
  5. Step 5: Solve for x
    x = 273,921.39/220.94
  6. Step 6: Final answer
    x = 1,239.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.