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Finding the Third Proportional to 184,966 and 280,131

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Solution

The third proportional to 184,966 and 280,131 is: 424,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,966 : 280,131 = 280,131 : x
  2. Step 2: Convert to fraction form
    184,966/280,131 = 280,131/x
  3. Step 3: Cross multiply
    184,966x = 280,131 × 280,131
  4. Step 4: Simplify right side
    184,966x = 78,473,377,161
  5. Step 5: Solve for x
    x = 78,473,377,161/184,966
  6. Step 6: Final answer
    x = 424,258.39

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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.