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Finding the Third Proportional to 79,800 and 167,864

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Solution

The third proportional to 79,800 and 167,864 is: 353,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,800 : 167,864 = 167,864 : x
  2. Step 2: Convert to fraction form
    79,800/167,864 = 167,864/x
  3. Step 3: Cross multiply
    79,800x = 167,864 × 167,864
  4. Step 4: Simplify right side
    79,800x = 28,178,322,496
  5. Step 5: Solve for x
    x = 28,178,322,496/79,800
  6. Step 6: Final answer
    x = 353,111.81

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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.