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Finding the Third Proportional to 363.09 and 548.16

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Solution

The third proportional to 363.09 and 548.16 is: 827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 548.16 = 548.16 : x
  2. Step 2: Convert to fraction form
    363.09/548.16 = 548.16/x
  3. Step 3: Cross multiply
    363.09x = 548.16 × 548.16
  4. Step 4: Simplify right side
    363.09x = 300,475.27
  5. Step 5: Solve for x
    x = 300,475.27/363.09
  6. Step 6: Final answer
    x = 827.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.