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Finding the Third Proportional to 83,408 and 170,208

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Solution

The third proportional to 83,408 and 170,208 is: 347,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408 : 170,208 = 170,208 : x
  2. Step 2: Convert to fraction form
    83,408/170,208 = 170,208/x
  3. Step 3: Cross multiply
    83,408x = 170,208 × 170,208
  4. Step 4: Simplify right side
    83,408x = 28,970,763,264
  5. Step 5: Solve for x
    x = 28,970,763,264/83,408
  6. Step 6: Final answer
    x = 347,337.94

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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.