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Finding the Third Proportional to 195,753 and 419,928

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Solution

The third proportional to 195,753 and 419,928 is: 900,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,753 : 419,928 = 419,928 : x
  2. Step 2: Convert to fraction form
    195,753/419,928 = 419,928/x
  3. Step 3: Cross multiply
    195,753x = 419,928 × 419,928
  4. Step 4: Simplify right side
    195,753x = 176,339,525,184
  5. Step 5: Solve for x
    x = 176,339,525,184/195,753
  6. Step 6: Final answer
    x = 900,826.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.