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Finding the Third Proportional to 181,782 and 380,268

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Solution

The third proportional to 181,782 and 380,268 is: 795,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,782 : 380,268 = 380,268 : x
  2. Step 2: Convert to fraction form
    181,782/380,268 = 380,268/x
  3. Step 3: Cross multiply
    181,782x = 380,268 × 380,268
  4. Step 4: Simplify right side
    181,782x = 144,603,751,824
  5. Step 5: Solve for x
    x = 144,603,751,824/181,782
  6. Step 6: Final answer
    x = 795,478.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.