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Finding the Third Proportional to 181,910 and 372,836

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Solution

The third proportional to 181,910 and 372,836 is: 764,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,910 : 372,836 = 372,836 : x
  2. Step 2: Convert to fraction form
    181,910/372,836 = 372,836/x
  3. Step 3: Cross multiply
    181,910x = 372,836 × 372,836
  4. Step 4: Simplify right side
    181,910x = 139,006,682,896
  5. Step 5: Solve for x
    x = 139,006,682,896/181,910
  6. Step 6: Final answer
    x = 764,150.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.