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Finding the Third Proportional to 180,966 and 394,056

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Solution

The third proportional to 180,966 and 394,056 is: 858,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,966 : 394,056 = 394,056 : x
  2. Step 2: Convert to fraction form
    180,966/394,056 = 394,056/x
  3. Step 3: Cross multiply
    180,966x = 394,056 × 394,056
  4. Step 4: Simplify right side
    180,966x = 155,280,131,136
  5. Step 5: Solve for x
    x = 155,280,131,136/180,966
  6. Step 6: Final answer
    x = 858,062.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.