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Finding the Third Proportional to 197,842 and 419,226

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Solution

The third proportional to 197,842 and 419,226 is: 888,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,842 : 419,226 = 419,226 : x
  2. Step 2: Convert to fraction form
    197,842/419,226 = 419,226/x
  3. Step 3: Cross multiply
    197,842x = 419,226 × 419,226
  4. Step 4: Simplify right side
    197,842x = 175,750,439,076
  5. Step 5: Solve for x
    x = 175,750,439,076/197,842
  6. Step 6: Final answer
    x = 888,337.36

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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.