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Finding the Third Proportional to 167,920 and 282,011

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Solution

The third proportional to 167,920 and 282,011 is: 473,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,920 : 282,011 = 282,011 : x
  2. Step 2: Convert to fraction form
    167,920/282,011 = 282,011/x
  3. Step 3: Cross multiply
    167,920x = 282,011 × 282,011
  4. Step 4: Simplify right side
    167,920x = 79,530,204,121
  5. Step 5: Solve for x
    x = 79,530,204,121/167,920
  6. Step 6: Final answer
    x = 473,619.61

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.