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Finding the Third Proportional to 184,286.25 and 388,251

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Solution

The third proportional to 184,286.25 and 388,251 is: 817,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,286.25 : 388,251 = 388,251 : x
  2. Step 2: Convert to fraction form
    184,286.25/388,251 = 388,251/x
  3. Step 3: Cross multiply
    184,286.25x = 388,251 × 388,251
  4. Step 4: Simplify right side
    184,286.25x = 150,738,839,001
  5. Step 5: Solve for x
    x = 150,738,839,001/184,286.25
  6. Step 6: Final answer
    x = 817,960.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.