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Finding the Third Proportional to 177,029.25 and 378,906.38

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Solution

The third proportional to 177,029.25 and 378,906.38 is: 810,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,029.25 : 378,906.38 = 378,906.38 : x
  2. Step 2: Convert to fraction form
    177,029.25/378,906.38 = 378,906.38/x
  3. Step 3: Cross multiply
    177,029.25x = 378,906.38 × 378,906.38
  4. Step 4: Simplify right side
    177,029.25x = 143,570,041,015.64
  5. Step 5: Solve for x
    x = 143,570,041,015.64/177,029.25
  6. Step 6: Final answer
    x = 810,996.15

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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.