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Finding the Third Proportional to 163.97 and 246.23

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Solution

The third proportional to 163.97 and 246.23 is: 369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.97 : 246.23 = 246.23 : x
  2. Step 2: Convert to fraction form
    163.97/246.23 = 246.23/x
  3. Step 3: Cross multiply
    163.97x = 246.23 × 246.23
  4. Step 4: Simplify right side
    163.97x = 60,631.37
  5. Step 5: Solve for x
    x = 60,631.37/163.97
  6. Step 6: Final answer
    x = 369.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.