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Finding the Third Proportional to 171,819 and 369,067.50

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Solution

The third proportional to 171,819 and 369,067.50 is: 792,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,819 : 369,067.50 = 369,067.50 : x
  2. Step 2: Convert to fraction form
    171,819/369,067.50 = 369,067.50/x
  3. Step 3: Cross multiply
    171,819x = 369,067.50 × 369,067.50
  4. Step 4: Simplify right side
    171,819x = 136,210,819,556.25
  5. Step 5: Solve for x
    x = 136,210,819,556.25/171,819
  6. Step 6: Final answer
    x = 792,757.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.