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Finding the Third Proportional to 196.17 and 295.73

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Solution

The third proportional to 196.17 and 295.73 is: 445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 295.73 = 295.73 : x
  2. Step 2: Convert to fraction form
    196.17/295.73 = 295.73/x
  3. Step 3: Cross multiply
    196.17x = 295.73 × 295.73
  4. Step 4: Simplify right side
    196.17x = 87,458.82
  5. Step 5: Solve for x
    x = 87,458.82/196.17
  6. Step 6: Final answer
    x = 445.83

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