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Finding the Third Proportional to 173,170 and 259,761

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Solution

The third proportional to 173,170 and 259,761 is: 389,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,170 : 259,761 = 259,761 : x
  2. Step 2: Convert to fraction form
    173,170/259,761 = 259,761/x
  3. Step 3: Cross multiply
    173,170x = 259,761 × 259,761
  4. Step 4: Simplify right side
    173,170x = 67,475,777,121
  5. Step 5: Solve for x
    x = 67,475,777,121/173,170
  6. Step 6: Final answer
    x = 389,650.50

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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.