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Finding the Third Proportional to 85,208 and 179,230

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Solution

The third proportional to 85,208 and 179,230 is: 376,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,208 : 179,230 = 179,230 : x
  2. Step 2: Convert to fraction form
    85,208/179,230 = 179,230/x
  3. Step 3: Cross multiply
    85,208x = 179,230 × 179,230
  4. Step 4: Simplify right side
    85,208x = 32,123,392,900
  5. Step 5: Solve for x
    x = 32,123,392,900/85,208
  6. Step 6: Final answer
    x = 376,999.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.