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Finding the Third Proportional to 188,850 and 405,768

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Solution

The third proportional to 188,850 and 405,768 is: 871,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,850 : 405,768 = 405,768 : x
  2. Step 2: Convert to fraction form
    188,850/405,768 = 405,768/x
  3. Step 3: Cross multiply
    188,850x = 405,768 × 405,768
  4. Step 4: Simplify right side
    188,850x = 164,647,669,824
  5. Step 5: Solve for x
    x = 164,647,669,824/188,850
  6. Step 6: Final answer
    x = 871,843.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.