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Finding the Third Proportional to 197.63 and 421.13

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Solution

The third proportional to 197.63 and 421.13 is: 897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.63 : 421.13 = 421.13 : x
  2. Step 2: Convert to fraction form
    197.63/421.13 = 421.13/x
  3. Step 3: Cross multiply
    197.63x = 421.13 × 421.13
  4. Step 4: Simplify right side
    197.63x = 177,346.27
  5. Step 5: Solve for x
    x = 177,346.27/197.63
  6. Step 6: Final answer
    x = 897.39

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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.