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Finding the Third Proportional to 181,261 and 388,766

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Solution

The third proportional to 181,261 and 388,766 is: 833,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,261 : 388,766 = 388,766 : x
  2. Step 2: Convert to fraction form
    181,261/388,766 = 388,766/x
  3. Step 3: Cross multiply
    181,261x = 388,766 × 388,766
  4. Step 4: Simplify right side
    181,261x = 151,139,002,756
  5. Step 5: Solve for x
    x = 151,139,002,756/181,261
  6. Step 6: Final answer
    x = 833,819.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.