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Finding the Third Proportional to 165,890 and 251,907

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Solution

The third proportional to 165,890 and 251,907 is: 382,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,890 : 251,907 = 251,907 : x
  2. Step 2: Convert to fraction form
    165,890/251,907 = 251,907/x
  3. Step 3: Cross multiply
    165,890x = 251,907 × 251,907
  4. Step 4: Simplify right side
    165,890x = 63,457,136,649
  5. Step 5: Solve for x
    x = 63,457,136,649/165,890
  6. Step 6: Final answer
    x = 382,525.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.