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Finding the Third Proportional to 85,596 and 206,194

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Solution

The third proportional to 85,596 and 206,194 is: 496,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596 : 206,194 = 206,194 : x
  2. Step 2: Convert to fraction form
    85,596/206,194 = 206,194/x
  3. Step 3: Cross multiply
    85,596x = 206,194 × 206,194
  4. Step 4: Simplify right side
    85,596x = 42,515,965,636
  5. Step 5: Solve for x
    x = 42,515,965,636/85,596
  6. Step 6: Final answer
    x = 496,705.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.