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Finding the Third Proportional to 163.90 and 246.16

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Solution

The third proportional to 163.90 and 246.16 is: 369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 246.16 = 246.16 : x
  2. Step 2: Convert to fraction form
    163.90/246.16 = 246.16/x
  3. Step 3: Cross multiply
    163.90x = 246.16 × 246.16
  4. Step 4: Simplify right side
    163.90x = 60,596.75
  5. Step 5: Solve for x
    x = 60,596.75/163.90
  6. Step 6: Final answer
    x = 369.72

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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.