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Finding the Third Proportional to 184,056 and 394,336

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Solution

The third proportional to 184,056 and 394,336 is: 844,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,056 : 394,336 = 394,336 : x
  2. Step 2: Convert to fraction form
    184,056/394,336 = 394,336/x
  3. Step 3: Cross multiply
    184,056x = 394,336 × 394,336
  4. Step 4: Simplify right side
    184,056x = 155,500,880,896
  5. Step 5: Solve for x
    x = 155,500,880,896/184,056
  6. Step 6: Final answer
    x = 844,856.35

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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.