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Finding the Third Proportional to 190,665 and 419,634

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Solution

The third proportional to 190,665 and 419,634 is: 923,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,665 : 419,634 = 419,634 : x
  2. Step 2: Convert to fraction form
    190,665/419,634 = 419,634/x
  3. Step 3: Cross multiply
    190,665x = 419,634 × 419,634
  4. Step 4: Simplify right side
    190,665x = 176,092,693,956
  5. Step 5: Solve for x
    x = 176,092,693,956/190,665
  6. Step 6: Final answer
    x = 923,571.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.