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Finding the Third Proportional to 171.75 and 208.88

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Solution

The third proportional to 171.75 and 208.88 is: 254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.75 : 208.88 = 208.88 : x
  2. Step 2: Convert to fraction form
    171.75/208.88 = 208.88/x
  3. Step 3: Cross multiply
    171.75x = 208.88 × 208.88
  4. Step 4: Simplify right side
    171.75x = 43,628.77
  5. Step 5: Solve for x
    x = 43,628.77/171.75
  6. Step 6: Final answer
    x = 254.02

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.