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Finding the Third Proportional to 189.14 and 395.44

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Solution

The third proportional to 189.14 and 395.44 is: 826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 395.44 = 395.44 : x
  2. Step 2: Convert to fraction form
    189.14/395.44 = 395.44/x
  3. Step 3: Cross multiply
    189.14x = 395.44 × 395.44
  4. Step 4: Simplify right side
    189.14x = 156,370.82
  5. Step 5: Solve for x
    x = 156,370.82/189.14
  6. Step 6: Final answer
    x = 826.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.