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Finding the Third Proportional to 122.91 and 269.44

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Solution

The third proportional to 122.91 and 269.44 is: 590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 269.44 = 269.44 : x
  2. Step 2: Convert to fraction form
    122.91/269.44 = 269.44/x
  3. Step 3: Cross multiply
    122.91x = 269.44 × 269.44
  4. Step 4: Simplify right side
    122.91x = 72,596.57
  5. Step 5: Solve for x
    x = 72,596.57/122.91
  6. Step 6: Final answer
    x = 590.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.