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Finding the Third Proportional to 181,796 and 372,406

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Solution

The third proportional to 181,796 and 372,406 is: 762,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,796 : 372,406 = 372,406 : x
  2. Step 2: Convert to fraction form
    181,796/372,406 = 372,406/x
  3. Step 3: Cross multiply
    181,796x = 372,406 × 372,406
  4. Step 4: Simplify right side
    181,796x = 138,686,228,836
  5. Step 5: Solve for x
    x = 138,686,228,836/181,796
  6. Step 6: Final answer
    x = 762,867.33

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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.