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Finding the Third Proportional to 184,967 and 277,475

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Solution

The third proportional to 184,967 and 277,475 is: 416,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,967 : 277,475 = 277,475 : x
  2. Step 2: Convert to fraction form
    184,967/277,475 = 277,475/x
  3. Step 3: Cross multiply
    184,967x = 277,475 × 277,475
  4. Step 4: Simplify right side
    184,967x = 76,992,375,625
  5. Step 5: Solve for x
    x = 76,992,375,625/184,967
  6. Step 6: Final answer
    x = 416,249.25

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Why These Related Problems?

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