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Finding the Third Proportional to 190,941 and 397,569

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Solution

The third proportional to 190,941 and 397,569 is: 827,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,941 : 397,569 = 397,569 : x
  2. Step 2: Convert to fraction form
    190,941/397,569 = 397,569/x
  3. Step 3: Cross multiply
    190,941x = 397,569 × 397,569
  4. Step 4: Simplify right side
    190,941x = 158,061,109,761
  5. Step 5: Solve for x
    x = 158,061,109,761/190,941
  6. Step 6: Final answer
    x = 827,800.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.