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Finding the Third Proportional to 177,826 and 419,769

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Solution

The third proportional to 177,826 and 419,769 is: 990,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,826 : 419,769 = 419,769 : x
  2. Step 2: Convert to fraction form
    177,826/419,769 = 419,769/x
  3. Step 3: Cross multiply
    177,826x = 419,769 × 419,769
  4. Step 4: Simplify right side
    177,826x = 176,206,013,361
  5. Step 5: Solve for x
    x = 176,206,013,361/177,826
  6. Step 6: Final answer
    x = 990,890.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.