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Finding the Third Proportional to 190,941 and 397,571

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Solution

The third proportional to 190,941 and 397,571 is: 827,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,941 : 397,571 = 397,571 : x
  2. Step 2: Convert to fraction form
    190,941/397,571 = 397,571/x
  3. Step 3: Cross multiply
    190,941x = 397,571 × 397,571
  4. Step 4: Simplify right side
    190,941x = 158,062,700,041
  5. Step 5: Solve for x
    x = 158,062,700,041/190,941
  6. Step 6: Final answer
    x = 827,809.11

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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.