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Finding the Third Proportional to 184,874 and 264,177

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Solution

The third proportional to 184,874 and 264,177 is: 377,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,874 : 264,177 = 264,177 : x
  2. Step 2: Convert to fraction form
    184,874/264,177 = 264,177/x
  3. Step 3: Cross multiply
    184,874x = 264,177 × 264,177
  4. Step 4: Simplify right side
    184,874x = 69,789,487,329
  5. Step 5: Solve for x
    x = 69,789,487,329/184,874
  6. Step 6: Final answer
    x = 377,497.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.