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Finding the Third Proportional to 184,961 and 280,125

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Solution

The third proportional to 184,961 and 280,125 is: 424,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,961 : 280,125 = 280,125 : x
  2. Step 2: Convert to fraction form
    184,961/280,125 = 280,125/x
  3. Step 3: Cross multiply
    184,961x = 280,125 × 280,125
  4. Step 4: Simplify right side
    184,961x = 78,470,015,625
  5. Step 5: Solve for x
    x = 78,470,015,625/184,961
  6. Step 6: Final answer
    x = 424,251.68

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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.