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Finding the Third Proportional to 83,396 and 170,188

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Solution

The third proportional to 83,396 and 170,188 is: 347,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,396 : 170,188 = 170,188 : x
  2. Step 2: Convert to fraction form
    83,396/170,188 = 170,188/x
  3. Step 3: Cross multiply
    83,396x = 170,188 × 170,188
  4. Step 4: Simplify right side
    83,396x = 28,963,955,344
  5. Step 5: Solve for x
    x = 28,963,955,344/83,396
  6. Step 6: Final answer
    x = 347,306.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.