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Finding the Third Proportional to 197.25 and 419.88

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Solution

The third proportional to 197.25 and 419.88 is: 893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.25 : 419.88 = 419.88 : x
  2. Step 2: Convert to fraction form
    197.25/419.88 = 419.88/x
  3. Step 3: Cross multiply
    197.25x = 419.88 × 419.88
  4. Step 4: Simplify right side
    197.25x = 176,295.02
  5. Step 5: Solve for x
    x = 176,295.02/197.25
  6. Step 6: Final answer
    x = 893.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.