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Finding the Third Proportional to 163,824 and 220,149

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Solution

The third proportional to 163,824 and 220,149 is: 295,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 220,149 = 220,149 : x
  2. Step 2: Convert to fraction form
    163,824/220,149 = 220,149/x
  3. Step 3: Cross multiply
    163,824x = 220,149 × 220,149
  4. Step 4: Simplify right side
    163,824x = 48,465,582,201
  5. Step 5: Solve for x
    x = 48,465,582,201/163,824
  6. Step 6: Final answer
    x = 295,839.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.