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Finding the Third Proportional to 171.84 and 273.87

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Solution

The third proportional to 171.84 and 273.87 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 273.87 = 273.87 : x
  2. Step 2: Convert to fraction form
    171.84/273.87 = 273.87/x
  3. Step 3: Cross multiply
    171.84x = 273.87 × 273.87
  4. Step 4: Simplify right side
    171.84x = 75,003.24
  5. Step 5: Solve for x
    x = 75,003.24/171.84
  6. Step 6: Final answer
    x = 436.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.