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Finding the Third Proportional to 184,763 and 285,285

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Solution

The third proportional to 184,763 and 285,285 is: 440,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,763 : 285,285 = 285,285 : x
  2. Step 2: Convert to fraction form
    184,763/285,285 = 285,285/x
  3. Step 3: Cross multiply
    184,763x = 285,285 × 285,285
  4. Step 4: Simplify right side
    184,763x = 81,387,531,225
  5. Step 5: Solve for x
    x = 81,387,531,225/184,763
  6. Step 6: Final answer
    x = 440,496.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.