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Finding the Third Proportional to 171.44 and 370.30

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Solution

The third proportional to 171.44 and 370.30 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.44 : 370.30 = 370.30 : x
  2. Step 2: Convert to fraction form
    171.44/370.30 = 370.30/x
  3. Step 3: Cross multiply
    171.44x = 370.30 × 370.30
  4. Step 4: Simplify right side
    171.44x = 137,122.67
  5. Step 5: Solve for x
    x = 137,122.67/171.44
  6. Step 6: Final answer
    x = 799.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.