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Finding the Third Proportional to 197.44 and 427.62

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Solution

The third proportional to 197.44 and 427.62 is: 926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 427.62 = 427.62 : x
  2. Step 2: Convert to fraction form
    197.44/427.62 = 427.62/x
  3. Step 3: Cross multiply
    197.44x = 427.62 × 427.62
  4. Step 4: Simplify right side
    197.44x = 182,861.47
  5. Step 5: Solve for x
    x = 182,861.47/197.44
  6. Step 6: Final answer
    x = 926.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.