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Finding the Third Proportional to 184,576 and 394,746

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Solution

The third proportional to 184,576 and 394,746 is: 844,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,576 : 394,746 = 394,746 : x
  2. Step 2: Convert to fraction form
    184,576/394,746 = 394,746/x
  3. Step 3: Cross multiply
    184,576x = 394,746 × 394,746
  4. Step 4: Simplify right side
    184,576x = 155,824,404,516
  5. Step 5: Solve for x
    x = 155,824,404,516/184,576
  6. Step 6: Final answer
    x = 844,228.96

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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.