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Finding the Third Proportional to 181,279 and 388,802

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Solution

The third proportional to 181,279 and 388,802 is: 833,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,279 : 388,802 = 388,802 : x
  2. Step 2: Convert to fraction form
    181,279/388,802 = 388,802/x
  3. Step 3: Cross multiply
    181,279x = 388,802 × 388,802
  4. Step 4: Simplify right side
    181,279x = 151,166,995,204
  5. Step 5: Solve for x
    x = 151,166,995,204/181,279
  6. Step 6: Final answer
    x = 833,891.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.