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Finding the Third Proportional to 184,015 and 277,771

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Solution

The third proportional to 184,015 and 277,771 is: 419,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,015 : 277,771 = 277,771 : x
  2. Step 2: Convert to fraction form
    184,015/277,771 = 277,771/x
  3. Step 3: Cross multiply
    184,015x = 277,771 × 277,771
  4. Step 4: Simplify right side
    184,015x = 77,156,728,441
  5. Step 5: Solve for x
    x = 77,156,728,441/184,015
  6. Step 6: Final answer
    x = 419,295.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.