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Finding the Third Proportional to 182,576 and 394,312

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Solution

The third proportional to 182,576 and 394,312 is: 851,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,576 : 394,312 = 394,312 : x
  2. Step 2: Convert to fraction form
    182,576/394,312 = 394,312/x
  3. Step 3: Cross multiply
    182,576x = 394,312 × 394,312
  4. Step 4: Simplify right side
    182,576x = 155,481,953,344
  5. Step 5: Solve for x
    x = 155,481,953,344/182,576
  6. Step 6: Final answer
    x = 851,601.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.