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Finding the Third Proportional to 208,198 and 447,968

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Solution

The third proportional to 208,198 and 447,968 is: 963,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,198 : 447,968 = 447,968 : x
  2. Step 2: Convert to fraction form
    208,198/447,968 = 447,968/x
  3. Step 3: Cross multiply
    208,198x = 447,968 × 447,968
  4. Step 4: Simplify right side
    208,198x = 200,675,329,024
  5. Step 5: Solve for x
    x = 200,675,329,024/208,198
  6. Step 6: Final answer
    x = 963,867.71

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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.