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Finding the Third Proportional to 189.84 and 280.97

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Solution

The third proportional to 189.84 and 280.97 is: 415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 280.97 = 280.97 : x
  2. Step 2: Convert to fraction form
    189.84/280.97 = 280.97/x
  3. Step 3: Cross multiply
    189.84x = 280.97 × 280.97
  4. Step 4: Simplify right side
    189.84x = 78,943.44
  5. Step 5: Solve for x
    x = 78,943.44/189.84
  6. Step 6: Final answer
    x = 415.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.