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Finding the Third Proportional to 83,406 and 178,881

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Solution

The third proportional to 83,406 and 178,881 is: 383,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406 : 178,881 = 178,881 : x
  2. Step 2: Convert to fraction form
    83,406/178,881 = 178,881/x
  3. Step 3: Cross multiply
    83,406x = 178,881 × 178,881
  4. Step 4: Simplify right side
    83,406x = 31,998,412,161
  5. Step 5: Solve for x
    x = 31,998,412,161/83,406
  6. Step 6: Final answer
    x = 383,646.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.