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Finding the Third Proportional to 208,197 and 447,966

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Solution

The third proportional to 208,197 and 447,966 is: 963,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197 : 447,966 = 447,966 : x
  2. Step 2: Convert to fraction form
    208,197/447,966 = 447,966/x
  3. Step 3: Cross multiply
    208,197x = 447,966 × 447,966
  4. Step 4: Simplify right side
    208,197x = 200,673,537,156
  5. Step 5: Solve for x
    x = 200,673,537,156/208,197
  6. Step 6: Final answer
    x = 963,863.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.