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Finding the Third Proportional to 196.25 and 418.56

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Solution

The third proportional to 196.25 and 418.56 is: 892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 418.56 = 418.56 : x
  2. Step 2: Convert to fraction form
    196.25/418.56 = 418.56/x
  3. Step 3: Cross multiply
    196.25x = 418.56 × 418.56
  4. Step 4: Simplify right side
    196.25x = 175,194.57
  5. Step 5: Solve for x
    x = 175,194.57/196.25
  6. Step 6: Final answer
    x = 892.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.