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Finding the Third Proportional to 190,974 and 419,676

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Solution

The third proportional to 190,974 and 419,676 is: 922,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,974 : 419,676 = 419,676 : x
  2. Step 2: Convert to fraction form
    190,974/419,676 = 419,676/x
  3. Step 3: Cross multiply
    190,974x = 419,676 × 419,676
  4. Step 4: Simplify right side
    190,974x = 176,127,944,976
  5. Step 5: Solve for x
    x = 176,127,944,976/190,974
  6. Step 6: Final answer
    x = 922,261.38

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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.