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Finding the Third Proportional to 206,238 and 447,252

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Solution

The third proportional to 206,238 and 447,252 is: 969,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,238 : 447,252 = 447,252 : x
  2. Step 2: Convert to fraction form
    206,238/447,252 = 447,252/x
  3. Step 3: Cross multiply
    206,238x = 447,252 × 447,252
  4. Step 4: Simplify right side
    206,238x = 200,034,351,504
  5. Step 5: Solve for x
    x = 200,034,351,504/206,238
  6. Step 6: Final answer
    x = 969,919.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.