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Finding the Third Proportional to 168 and 269.63

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Solution

The third proportional to 168 and 269.63 is: 432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168 : 269.63 = 269.63 : x
  2. Step 2: Convert to fraction form
    168/269.63 = 269.63/x
  3. Step 3: Cross multiply
    168x = 269.63 × 269.63
  4. Step 4: Simplify right side
    168x = 72,697.64
  5. Step 5: Solve for x
    x = 72,697.64/168
  6. Step 6: Final answer
    x = 432.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.