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Finding the Third Proportional to 122.84 and 255.69

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Solution

The third proportional to 122.84 and 255.69 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 255.69 = 255.69 : x
  2. Step 2: Convert to fraction form
    122.84/255.69 = 255.69/x
  3. Step 3: Cross multiply
    122.84x = 255.69 × 255.69
  4. Step 4: Simplify right side
    122.84x = 65,376.10
  5. Step 5: Solve for x
    x = 65,376.10/122.84
  6. Step 6: Final answer
    x = 532.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.