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Finding the Third Proportional to 85,479 and 182,622

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Solution

The third proportional to 85,479 and 182,622 is: 390,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,479 : 182,622 = 182,622 : x
  2. Step 2: Convert to fraction form
    85,479/182,622 = 182,622/x
  3. Step 3: Cross multiply
    85,479x = 182,622 × 182,622
  4. Step 4: Simplify right side
    85,479x = 33,350,794,884
  5. Step 5: Solve for x
    x = 33,350,794,884/85,479
  6. Step 6: Final answer
    x = 390,163.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.