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Finding the Third Proportional to 190,682 and 419,572

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Solution

The third proportional to 190,682 and 419,572 is: 923,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,682 : 419,572 = 419,572 : x
  2. Step 2: Convert to fraction form
    190,682/419,572 = 419,572/x
  3. Step 3: Cross multiply
    190,682x = 419,572 × 419,572
  4. Step 4: Simplify right side
    190,682x = 176,040,663,184
  5. Step 5: Solve for x
    x = 176,040,663,184/190,682
  6. Step 6: Final answer
    x = 923,215.95

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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.