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Finding the Third Proportional to 102,866 and 208,594

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Solution

The third proportional to 102,866 and 208,594 is: 422,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866 : 208,594 = 208,594 : x
  2. Step 2: Convert to fraction form
    102,866/208,594 = 208,594/x
  3. Step 3: Cross multiply
    102,866x = 208,594 × 208,594
  4. Step 4: Simplify right side
    102,866x = 43,511,456,836
  5. Step 5: Solve for x
    x = 43,511,456,836/102,866
  6. Step 6: Final answer
    x = 422,991.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.