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Finding the Third Proportional to 188,847 and 405,762

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Solution

The third proportional to 188,847 and 405,762 is: 871,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,847 : 405,762 = 405,762 : x
  2. Step 2: Convert to fraction form
    188,847/405,762 = 405,762/x
  3. Step 3: Cross multiply
    188,847x = 405,762 × 405,762
  4. Step 4: Simplify right side
    188,847x = 164,642,800,644
  5. Step 5: Solve for x
    x = 164,642,800,644/188,847
  6. Step 6: Final answer
    x = 871,831.70

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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.