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Finding the Third Proportional to 117,286 and 188,843

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Solution

The third proportional to 117,286 and 188,843 is: 304,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,286 : 188,843 = 188,843 : x
  2. Step 2: Convert to fraction form
    117,286/188,843 = 188,843/x
  3. Step 3: Cross multiply
    117,286x = 188,843 × 188,843
  4. Step 4: Simplify right side
    117,286x = 35,661,678,649
  5. Step 5: Solve for x
    x = 35,661,678,649/117,286
  6. Step 6: Final answer
    x = 304,057.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.