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Finding the Third Proportional to 171.35 and 250.63

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Solution

The third proportional to 171.35 and 250.63 is: 366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.35 : 250.63 = 250.63 : x
  2. Step 2: Convert to fraction form
    171.35/250.63 = 250.63/x
  3. Step 3: Cross multiply
    171.35x = 250.63 × 250.63
  4. Step 4: Simplify right side
    171.35x = 62,814.85
  5. Step 5: Solve for x
    x = 62,814.85/171.35
  6. Step 6: Final answer
    x = 366.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.