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Finding the Third Proportional to 197,830 and 419,204

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Solution

The third proportional to 197,830 and 419,204 is: 888,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830 : 419,204 = 419,204 : x
  2. Step 2: Convert to fraction form
    197,830/419,204 = 419,204/x
  3. Step 3: Cross multiply
    197,830x = 419,204 × 419,204
  4. Step 4: Simplify right side
    197,830x = 175,731,993,616
  5. Step 5: Solve for x
    x = 175,731,993,616/197,830
  6. Step 6: Final answer
    x = 888,298.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.