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Finding the Third Proportional to 200,251.93 and 407,940.05

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Solution

The third proportional to 200,251.93 and 407,940.05 is: 831,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251.93 : 407,940.05 = 407,940.05 : x
  2. Step 2: Convert to fraction form
    200,251.93/407,940.05 = 407,940.05/x
  3. Step 3: Cross multiply
    200,251.93x = 407,940.05 × 407,940.05
  4. Step 4: Simplify right side
    200,251.93x = 166,415,081,844.38
  5. Step 5: Solve for x
    x = 166,415,081,844.38/200,251.93
  6. Step 6: Final answer
    x = 831,028.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.