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Finding the Third Proportional to 197,252 and 419,076

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Solution

The third proportional to 197,252 and 419,076 is: 890,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,252 : 419,076 = 419,076 : x
  2. Step 2: Convert to fraction form
    197,252/419,076 = 419,076/x
  3. Step 3: Cross multiply
    197,252x = 419,076 × 419,076
  4. Step 4: Simplify right side
    197,252x = 175,624,693,776
  5. Step 5: Solve for x
    x = 175,624,693,776/197,252
  6. Step 6: Final answer
    x = 890,356.97

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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.