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Finding the Third Proportional to 168.75 and 287.06

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Solution

The third proportional to 168.75 and 287.06 is: 488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.75 : 287.06 = 287.06 : x
  2. Step 2: Convert to fraction form
    168.75/287.06 = 287.06/x
  3. Step 3: Cross multiply
    168.75x = 287.06 × 287.06
  4. Step 4: Simplify right side
    168.75x = 82,404.88
  5. Step 5: Solve for x
    x = 82,404.88/168.75
  6. Step 6: Final answer
    x = 488.33

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.