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Finding the Third Proportional to 188,851 and 405,769

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Solution

The third proportional to 188,851 and 405,769 is: 871,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,851 : 405,769 = 405,769 : x
  2. Step 2: Convert to fraction form
    188,851/405,769 = 405,769/x
  3. Step 3: Cross multiply
    188,851x = 405,769 × 405,769
  4. Step 4: Simplify right side
    188,851x = 164,648,481,361
  5. Step 5: Solve for x
    x = 164,648,481,361/188,851
  6. Step 6: Final answer
    x = 871,843.31

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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.