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Finding the Third Proportional to 177,896.25 and 381,216.38

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Solution

The third proportional to 177,896.25 and 381,216.38 is: 816,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,896.25 : 381,216.38 = 381,216.38 : x
  2. Step 2: Convert to fraction form
    177,896.25/381,216.38 = 381,216.38/x
  3. Step 3: Cross multiply
    177,896.25x = 381,216.38 × 381,216.38
  4. Step 4: Simplify right side
    177,896.25x = 145,325,924,568.14
  5. Step 5: Solve for x
    x = 145,325,924,568.14/177,896.25
  6. Step 6: Final answer
    x = 816,913.93

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Why These Related Problems?

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