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Finding the Third Proportional to 200,940.75 and 268,049.25

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Solution

The third proportional to 200,940.75 and 268,049.25 is: 357,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,940.75 : 268,049.25 = 268,049.25 : x
  2. Step 2: Convert to fraction form
    200,940.75/268,049.25 = 268,049.25/x
  3. Step 3: Cross multiply
    200,940.75x = 268,049.25 × 268,049.25
  4. Step 4: Simplify right side
    200,940.75x = 71,850,400,425.56
  5. Step 5: Solve for x
    x = 71,850,400,425.56/200,940.75
  6. Step 6: Final answer
    x = 357,570.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.