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Finding the Third Proportional to 172,978 and 259,467

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Solution

The third proportional to 172,978 and 259,467 is: 389,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,978 : 259,467 = 259,467 : x
  2. Step 2: Convert to fraction form
    172,978/259,467 = 259,467/x
  3. Step 3: Cross multiply
    172,978x = 259,467 × 259,467
  4. Step 4: Simplify right side
    172,978x = 67,323,124,089
  5. Step 5: Solve for x
    x = 67,323,124,089/172,978
  6. Step 6: Final answer
    x = 389,200.50

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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.