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Finding the Third Proportional to 184,569 and 394,731

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Solution

The third proportional to 184,569 and 394,731 is: 844,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,569 : 394,731 = 394,731 : x
  2. Step 2: Convert to fraction form
    184,569/394,731 = 394,731/x
  3. Step 3: Cross multiply
    184,569x = 394,731 × 394,731
  4. Step 4: Simplify right side
    184,569x = 155,812,562,361
  5. Step 5: Solve for x
    x = 155,812,562,361/184,569
  6. Step 6: Final answer
    x = 844,196.82

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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.