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Finding the Third Proportional to 179,121 and 377,682

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Solution

The third proportional to 179,121 and 377,682 is: 796,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,121 : 377,682 = 377,682 : x
  2. Step 2: Convert to fraction form
    179,121/377,682 = 377,682/x
  3. Step 3: Cross multiply
    179,121x = 377,682 × 377,682
  4. Step 4: Simplify right side
    179,121x = 142,643,693,124
  5. Step 5: Solve for x
    x = 142,643,693,124/179,121
  6. Step 6: Final answer
    x = 796,353.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.