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Finding the Third Proportional to 184,010 and 394,252

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Solution

The third proportional to 184,010 and 394,252 is: 844,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,010 : 394,252 = 394,252 : x
  2. Step 2: Convert to fraction form
    184,010/394,252 = 394,252/x
  3. Step 3: Cross multiply
    184,010x = 394,252 × 394,252
  4. Step 4: Simplify right side
    184,010x = 155,434,639,504
  5. Step 5: Solve for x
    x = 155,434,639,504/184,010
  6. Step 6: Final answer
    x = 844,707.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.