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Finding the Third Proportional to 181,657.69 and 394,804.76

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Solution

The third proportional to 181,657.69 and 394,804.76 is: 858,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,657.69 : 394,804.76 = 394,804.76 : x
  2. Step 2: Convert to fraction form
    181,657.69/394,804.76 = 394,804.76/x
  3. Step 3: Cross multiply
    181,657.69x = 394,804.76 × 394,804.76
  4. Step 4: Simplify right side
    181,657.69x = 155,870,796,791.39
  5. Step 5: Solve for x
    x = 155,870,796,791.39/181,657.69
  6. Step 6: Final answer
    x = 858,046.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.