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Finding the Third Proportional to 168,317 and 252,907

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Solution

The third proportional to 168,317 and 252,907 is: 380,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,317 : 252,907 = 252,907 : x
  2. Step 2: Convert to fraction form
    168,317/252,907 = 252,907/x
  3. Step 3: Cross multiply
    168,317x = 252,907 × 252,907
  4. Step 4: Simplify right side
    168,317x = 63,961,950,649
  5. Step 5: Solve for x
    x = 63,961,950,649/168,317
  6. Step 6: Final answer
    x = 380,008.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.