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Finding the Third Proportional to 168.75 and 363.84

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Solution

The third proportional to 168.75 and 363.84 is: 784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.75 : 363.84 = 363.84 : x
  2. Step 2: Convert to fraction form
    168.75/363.84 = 363.84/x
  3. Step 3: Cross multiply
    168.75x = 363.84 × 363.84
  4. Step 4: Simplify right side
    168.75x = 132,382.27
  5. Step 5: Solve for x
    x = 132,382.27/168.75
  6. Step 6: Final answer
    x = 784.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.