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Finding the Third Proportional to 208,181 and 447,938

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Solution

The third proportional to 208,181 and 447,938 is: 963,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,181 : 447,938 = 447,938 : x
  2. Step 2: Convert to fraction form
    208,181/447,938 = 447,938/x
  3. Step 3: Cross multiply
    208,181x = 447,938 × 447,938
  4. Step 4: Simplify right side
    208,181x = 200,648,451,844
  5. Step 5: Solve for x
    x = 200,648,451,844/208,181
  6. Step 6: Final answer
    x = 963,817.31

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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.