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Finding the Third Proportional to 98,252 and 208,204

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Solution

The third proportional to 98,252 and 208,204 is: 441,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,252 : 208,204 = 208,204 : x
  2. Step 2: Convert to fraction form
    98,252/208,204 = 208,204/x
  3. Step 3: Cross multiply
    98,252x = 208,204 × 208,204
  4. Step 4: Simplify right side
    98,252x = 43,348,905,616
  5. Step 5: Solve for x
    x = 43,348,905,616/98,252
  6. Step 6: Final answer
    x = 441,201.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.