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Finding the Third Proportional to 144.84 and 197.02

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Solution

The third proportional to 144.84 and 197.02 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.84 : 197.02 = 197.02 : x
  2. Step 2: Convert to fraction form
    144.84/197.02 = 197.02/x
  3. Step 3: Cross multiply
    144.84x = 197.02 × 197.02
  4. Step 4: Simplify right side
    144.84x = 38,815.16
  5. Step 5: Solve for x
    x = 38,815.16/144.84
  6. Step 6: Final answer
    x = 267.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.