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Finding the Third Proportional to 207,693 and 311,193

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Solution

The third proportional to 207,693 and 311,193 is: 466,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,693 : 311,193 = 311,193 : x
  2. Step 2: Convert to fraction form
    207,693/311,193 = 311,193/x
  3. Step 3: Cross multiply
    207,693x = 311,193 × 311,193
  4. Step 4: Simplify right side
    207,693x = 96,841,083,249
  5. Step 5: Solve for x
    x = 96,841,083,249/207,693
  6. Step 6: Final answer
    x = 466,270.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.