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Finding the Third Proportional to 144,831 and 302,907

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Solution

The third proportional to 144,831 and 302,907 is: 633,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,831 : 302,907 = 302,907 : x
  2. Step 2: Convert to fraction form
    144,831/302,907 = 302,907/x
  3. Step 3: Cross multiply
    144,831x = 302,907 × 302,907
  4. Step 4: Simplify right side
    144,831x = 91,752,650,649
  5. Step 5: Solve for x
    x = 91,752,650,649/144,831
  6. Step 6: Final answer
    x = 633,515.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.