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Finding the Third Proportional to 168.96 and 259.24

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Solution

The third proportional to 168.96 and 259.24 is: 397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 259.24 = 259.24 : x
  2. Step 2: Convert to fraction form
    168.96/259.24 = 259.24/x
  3. Step 3: Cross multiply
    168.96x = 259.24 × 259.24
  4. Step 4: Simplify right side
    168.96x = 67,206.51
  5. Step 5: Solve for x
    x = 67,206.51/168.96
  6. Step 6: Final answer
    x = 397.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.