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Finding the Third Proportional to 197,844 and 419,230

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Solution

The third proportional to 197,844 and 419,230 is: 888,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,844 : 419,230 = 419,230 : x
  2. Step 2: Convert to fraction form
    197,844/419,230 = 419,230/x
  3. Step 3: Cross multiply
    197,844x = 419,230 × 419,230
  4. Step 4: Simplify right side
    197,844x = 175,753,792,900
  5. Step 5: Solve for x
    x = 175,753,792,900/197,844
  6. Step 6: Final answer
    x = 888,345.33

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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.