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Finding the Third Proportional to 192.66 and 523.27

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Solution

The third proportional to 192.66 and 523.27 is: 1,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 523.27 = 523.27 : x
  2. Step 2: Convert to fraction form
    192.66/523.27 = 523.27/x
  3. Step 3: Cross multiply
    192.66x = 523.27 × 523.27
  4. Step 4: Simplify right side
    192.66x = 273,806.91
  5. Step 5: Solve for x
    x = 273,806.91/192.66
  6. Step 6: Final answer
    x = 1,421.22

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.