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Finding the Third Proportional to 122.44 and 322.78

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Solution

The third proportional to 122.44 and 322.78 is: 850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.44 : 322.78 = 322.78 : x
  2. Step 2: Convert to fraction form
    122.44/322.78 = 322.78/x
  3. Step 3: Cross multiply
    122.44x = 322.78 × 322.78
  4. Step 4: Simplify right side
    122.44x = 104,187.74
  5. Step 5: Solve for x
    x = 104,187.74/122.44
  6. Step 6: Final answer
    x = 850.95

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.