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Finding the Third Proportional to 195.97 and 418.94

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Solution

The third proportional to 195.97 and 418.94 is: 895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.97 : 418.94 = 418.94 : x
  2. Step 2: Convert to fraction form
    195.97/418.94 = 418.94/x
  3. Step 3: Cross multiply
    195.97x = 418.94 × 418.94
  4. Step 4: Simplify right side
    195.97x = 175,508.63
  5. Step 5: Solve for x
    x = 175,508.63/195.97
  6. Step 6: Final answer
    x = 895.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.