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Finding the Third Proportional to 167,796 and 220,104

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Solution

The third proportional to 167,796 and 220,104 is: 288,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,796 : 220,104 = 220,104 : x
  2. Step 2: Convert to fraction form
    167,796/220,104 = 220,104/x
  3. Step 3: Cross multiply
    167,796x = 220,104 × 220,104
  4. Step 4: Simplify right side
    167,796x = 48,445,770,816
  5. Step 5: Solve for x
    x = 48,445,770,816/167,796
  6. Step 6: Final answer
    x = 288,718.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.