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Finding the Third Proportional to 250,227.94 and 518,200.38

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Solution

The third proportional to 250,227.94 and 518,200.38 is: 1,073,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,227.94 : 518,200.38 = 518,200.38 : x
  2. Step 2: Convert to fraction form
    250,227.94/518,200.38 = 518,200.38/x
  3. Step 3: Cross multiply
    250,227.94x = 518,200.38 × 518,200.38
  4. Step 4: Simplify right side
    250,227.94x = 268,531,628,650.14
  5. Step 5: Solve for x
    x = 268,531,628,650.14/250,227.94
  6. Step 6: Final answer
    x = 1,073,148.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.