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Finding the Third Proportional to 197,016 and 421,680

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Solution

The third proportional to 197,016 and 421,680 is: 902,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,016 : 421,680 = 421,680 : x
  2. Step 2: Convert to fraction form
    197,016/421,680 = 421,680/x
  3. Step 3: Cross multiply
    197,016x = 421,680 × 421,680
  4. Step 4: Simplify right side
    197,016x = 177,814,022,400
  5. Step 5: Solve for x
    x = 177,814,022,400/197,016
  6. Step 6: Final answer
    x = 902,535.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.