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Finding the Third Proportional to 144,189 and 336,879

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Solution

The third proportional to 144,189 and 336,879 is: 787,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,189 : 336,879 = 336,879 : x
  2. Step 2: Convert to fraction form
    144,189/336,879 = 336,879/x
  3. Step 3: Cross multiply
    144,189x = 336,879 × 336,879
  4. Step 4: Simplify right side
    144,189x = 113,487,460,641
  5. Step 5: Solve for x
    x = 113,487,460,641/144,189
  6. Step 6: Final answer
    x = 787,074.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.