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Finding the Third Proportional to 184,144 and 381,376

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Solution

The third proportional to 184,144 and 381,376 is: 789,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,144 : 381,376 = 381,376 : x
  2. Step 2: Convert to fraction form
    184,144/381,376 = 381,376/x
  3. Step 3: Cross multiply
    184,144x = 381,376 × 381,376
  4. Step 4: Simplify right side
    184,144x = 145,447,653,376
  5. Step 5: Solve for x
    x = 145,447,653,376/184,144
  6. Step 6: Final answer
    x = 789,858.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.