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Finding the Third Proportional to 83,393 and 170,182

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Solution

The third proportional to 83,393 and 170,182 is: 347,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,393 : 170,182 = 170,182 : x
  2. Step 2: Convert to fraction form
    83,393/170,182 = 170,182/x
  3. Step 3: Cross multiply
    83,393x = 170,182 × 170,182
  4. Step 4: Simplify right side
    83,393x = 28,961,913,124
  5. Step 5: Solve for x
    x = 28,961,913,124/83,393
  6. Step 6: Final answer
    x = 347,294.29

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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.