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Finding the Third Proportional to 171.75 and 230.88

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Solution

The third proportional to 171.75 and 230.88 is: 310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.75 : 230.88 = 230.88 : x
  2. Step 2: Convert to fraction form
    171.75/230.88 = 230.88/x
  3. Step 3: Cross multiply
    171.75x = 230.88 × 230.88
  4. Step 4: Simplify right side
    171.75x = 53,303.27
  5. Step 5: Solve for x
    x = 53,303.27/171.75
  6. Step 6: Final answer
    x = 310.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.