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Finding the Third Proportional to 163.97 and 346.78

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Solution

The third proportional to 163.97 and 346.78 is: 733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.97 : 346.78 = 346.78 : x
  2. Step 2: Convert to fraction form
    163.97/346.78 = 346.78/x
  3. Step 3: Cross multiply
    163.97x = 346.78 × 346.78
  4. Step 4: Simplify right side
    163.97x = 120,257.24
  5. Step 5: Solve for x
    x = 120,257.24/163.97
  6. Step 6: Final answer
    x = 733.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.