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Finding the Third Proportional to 84,717 and 178,170

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Solution

The third proportional to 84,717 and 178,170 is: 374,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,717 : 178,170 = 178,170 : x
  2. Step 2: Convert to fraction form
    84,717/178,170 = 178,170/x
  3. Step 3: Cross multiply
    84,717x = 178,170 × 178,170
  4. Step 4: Simplify right side
    84,717x = 31,744,548,900
  5. Step 5: Solve for x
    x = 31,744,548,900/84,717
  6. Step 6: Final answer
    x = 374,712.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.