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Finding the Third Proportional to 144,867 and 220,296

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Solution

The third proportional to 144,867 and 220,296 is: 334,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,867 : 220,296 = 220,296 : x
  2. Step 2: Convert to fraction form
    144,867/220,296 = 220,296/x
  3. Step 3: Cross multiply
    144,867x = 220,296 × 220,296
  4. Step 4: Simplify right side
    144,867x = 48,530,327,616
  5. Step 5: Solve for x
    x = 48,530,327,616/144,867
  6. Step 6: Final answer
    x = 334,999.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.