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Finding the Third Proportional to 184,960.97 and 277,467.08

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Solution

The third proportional to 184,960.97 and 277,467.08 is: 416,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,960.97 : 277,467.08 = 277,467.08 : x
  2. Step 2: Convert to fraction form
    184,960.97/277,467.08 = 277,467.08/x
  3. Step 3: Cross multiply
    184,960.97x = 277,467.08 × 277,467.08
  4. Step 4: Simplify right side
    184,960.97x = 76,987,981,610.94
  5. Step 5: Solve for x
    x = 76,987,981,610.94/184,960.97
  6. Step 6: Final answer
    x = 416,239.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.