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Finding the Third Proportional to 181,227 and 375,198

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Solution

The third proportional to 181,227 and 375,198 is: 776,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,227 : 375,198 = 375,198 : x
  2. Step 2: Convert to fraction form
    181,227/375,198 = 375,198/x
  3. Step 3: Cross multiply
    181,227x = 375,198 × 375,198
  4. Step 4: Simplify right side
    181,227x = 140,773,539,204
  5. Step 5: Solve for x
    x = 140,773,539,204/181,227
  6. Step 6: Final answer
    x = 776,780.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.