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Finding the Third Proportional to 184,221 and 284,469

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Solution

The third proportional to 184,221 and 284,469 is: 439,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,221 : 284,469 = 284,469 : x
  2. Step 2: Convert to fraction form
    184,221/284,469 = 284,469/x
  3. Step 3: Cross multiply
    184,221x = 284,469 × 284,469
  4. Step 4: Simplify right side
    184,221x = 80,922,611,961
  5. Step 5: Solve for x
    x = 80,922,611,961/184,221
  6. Step 6: Final answer
    x = 439,269.20

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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.