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Finding the Third Proportional to 84,792 and 167,450

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Solution

The third proportional to 84,792 and 167,450 is: 330,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,792 : 167,450 = 167,450 : x
  2. Step 2: Convert to fraction form
    84,792/167,450 = 167,450/x
  3. Step 3: Cross multiply
    84,792x = 167,450 × 167,450
  4. Step 4: Simplify right side
    84,792x = 28,039,502,500
  5. Step 5: Solve for x
    x = 28,039,502,500/84,792
  6. Step 6: Final answer
    x = 330,685.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.