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Finding the Third Proportional to 166,429.69 and 363,997.13

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Solution

The third proportional to 166,429.69 and 363,997.13 is: 796,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,429.69 : 363,997.13 = 363,997.13 : x
  2. Step 2: Convert to fraction form
    166,429.69/363,997.13 = 363,997.13/x
  3. Step 3: Cross multiply
    166,429.69x = 363,997.13 × 363,997.13
  4. Step 4: Simplify right side
    166,429.69x = 132,493,907,008.27
  5. Step 5: Solve for x
    x = 132,493,907,008.27/166,429.69
  6. Step 6: Final answer
    x = 796,095.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.