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Finding the Third Proportional to 216.42 and 523.97

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Solution

The third proportional to 216.42 and 523.97 is: 1,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 523.97 = 523.97 : x
  2. Step 2: Convert to fraction form
    216.42/523.97 = 523.97/x
  3. Step 3: Cross multiply
    216.42x = 523.97 × 523.97
  4. Step 4: Simplify right side
    216.42x = 274,543.25
  5. Step 5: Solve for x
    x = 274,543.25/216.42
  6. Step 6: Final answer
    x = 1,268.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.