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Finding the Third Proportional to 87.94 and 225.47

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Solution

The third proportional to 87.94 and 225.47 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 225.47 = 225.47 : x
  2. Step 2: Convert to fraction form
    87.94/225.47 = 225.47/x
  3. Step 3: Cross multiply
    87.94x = 225.47 × 225.47
  4. Step 4: Simplify right side
    87.94x = 50,836.16
  5. Step 5: Solve for x
    x = 50,836.16/87.94
  6. Step 6: Final answer
    x = 578.09

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.