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Finding the Third Proportional to 82,188 and 170,694

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Solution

The third proportional to 82,188 and 170,694 is: 354,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,188 : 170,694 = 170,694 : x
  2. Step 2: Convert to fraction form
    82,188/170,694 = 170,694/x
  3. Step 3: Cross multiply
    82,188x = 170,694 × 170,694
  4. Step 4: Simplify right side
    82,188x = 29,136,441,636
  5. Step 5: Solve for x
    x = 29,136,441,636/82,188
  6. Step 6: Final answer
    x = 354,509.68

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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.