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Finding the Third Proportional to 122.25 and 197.25

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Solution

The third proportional to 122.25 and 197.25 is: 318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 197.25 = 197.25 : x
  2. Step 2: Convert to fraction form
    122.25/197.25 = 197.25/x
  3. Step 3: Cross multiply
    122.25x = 197.25 × 197.25
  4. Step 4: Simplify right side
    122.25x = 38,907.56
  5. Step 5: Solve for x
    x = 38,907.56/122.25
  6. Step 6: Final answer
    x = 318.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.