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Finding the Third Proportional to 179,993.63 and 382,122.75

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Solution

The third proportional to 179,993.63 and 382,122.75 is: 811,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,993.63 : 382,122.75 = 382,122.75 : x
  2. Step 2: Convert to fraction form
    179,993.63/382,122.75 = 382,122.75/x
  3. Step 3: Cross multiply
    179,993.63x = 382,122.75 × 382,122.75
  4. Step 4: Simplify right side
    179,993.63x = 146,017,796,067.56
  5. Step 5: Solve for x
    x = 146,017,796,067.56/179,993.63
  6. Step 6: Final answer
    x = 811,238.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.