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Finding the Third Proportional to 171.44 and 265.94

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Solution

The third proportional to 171.44 and 265.94 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.44 : 265.94 = 265.94 : x
  2. Step 2: Convert to fraction form
    171.44/265.94 = 265.94/x
  3. Step 3: Cross multiply
    171.44x = 265.94 × 265.94
  4. Step 4: Simplify right side
    171.44x = 70,722.75
  5. Step 5: Solve for x
    x = 70,722.75/171.44
  6. Step 6: Final answer
    x = 412.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.