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Finding the Third Proportional to 188,236 and 405,794

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Solution

The third proportional to 188,236 and 405,794 is: 874,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,236 : 405,794 = 405,794 : x
  2. Step 2: Convert to fraction form
    188,236/405,794 = 405,794/x
  3. Step 3: Cross multiply
    188,236x = 405,794 × 405,794
  4. Step 4: Simplify right side
    188,236x = 164,668,770,436
  5. Step 5: Solve for x
    x = 164,668,770,436/188,236
  6. Step 6: Final answer
    x = 874,799.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.