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Finding the Third Proportional to 82,219 and 170,918

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Solution

The third proportional to 82,219 and 170,918 is: 355,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219 : 170,918 = 170,918 : x
  2. Step 2: Convert to fraction form
    82,219/170,918 = 170,918/x
  3. Step 3: Cross multiply
    82,219x = 170,918 × 170,918
  4. Step 4: Simplify right side
    82,219x = 29,212,962,724
  5. Step 5: Solve for x
    x = 29,212,962,724/82,219
  6. Step 6: Final answer
    x = 355,306.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.