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Finding the Third Proportional to 122.91 and 289.97

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Solution

The third proportional to 122.91 and 289.97 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 289.97 = 289.97 : x
  2. Step 2: Convert to fraction form
    122.91/289.97 = 289.97/x
  3. Step 3: Cross multiply
    122.91x = 289.97 × 289.97
  4. Step 4: Simplify right side
    122.91x = 84,081.88
  5. Step 5: Solve for x
    x = 84,081.88/122.91
  6. Step 6: Final answer
    x = 684.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.