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Finding the Third Proportional to 179,131 and 377,703

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Solution

The third proportional to 179,131 and 377,703 is: 796,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,131 : 377,703 = 377,703 : x
  2. Step 2: Convert to fraction form
    179,131/377,703 = 377,703/x
  3. Step 3: Cross multiply
    179,131x = 377,703 × 377,703
  4. Step 4: Simplify right side
    179,131x = 142,659,556,209
  5. Step 5: Solve for x
    x = 142,659,556,209/179,131
  6. Step 6: Final answer
    x = 796,397.92

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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.