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Finding the Third Proportional to 190,680 and 419,568

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Solution

The third proportional to 190,680 and 419,568 is: 923,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,680 : 419,568 = 419,568 : x
  2. Step 2: Convert to fraction form
    190,680/419,568 = 419,568/x
  3. Step 3: Cross multiply
    190,680x = 419,568 × 419,568
  4. Step 4: Simplify right side
    190,680x = 176,037,306,624
  5. Step 5: Solve for x
    x = 176,037,306,624/190,680
  6. Step 6: Final answer
    x = 923,208.03

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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.