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Finding the Third Proportional to 144,743 and 229,744

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Solution

The third proportional to 144,743 and 229,744 is: 364,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,743 : 229,744 = 229,744 : x
  2. Step 2: Convert to fraction form
    144,743/229,744 = 229,744/x
  3. Step 3: Cross multiply
    144,743x = 229,744 × 229,744
  4. Step 4: Simplify right side
    144,743x = 52,782,305,536
  5. Step 5: Solve for x
    x = 52,782,305,536/144,743
  6. Step 6: Final answer
    x = 364,662.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.