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Finding the Third Proportional to 144,404 and 223,162

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Solution

The third proportional to 144,404 and 223,162 is: 344,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,404 : 223,162 = 223,162 : x
  2. Step 2: Convert to fraction form
    144,404/223,162 = 223,162/x
  3. Step 3: Cross multiply
    144,404x = 223,162 × 223,162
  4. Step 4: Simplify right side
    144,404x = 49,801,278,244
  5. Step 5: Solve for x
    x = 49,801,278,244/144,404
  6. Step 6: Final answer
    x = 344,874.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.