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Finding the Third Proportional to 182,338 and 393,836

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Solution

The third proportional to 182,338 and 393,836 is: 850,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,338 : 393,836 = 393,836 : x
  2. Step 2: Convert to fraction form
    182,338/393,836 = 393,836/x
  3. Step 3: Cross multiply
    182,338x = 393,836 × 393,836
  4. Step 4: Simplify right side
    182,338x = 155,106,794,896
  5. Step 5: Solve for x
    x = 155,106,794,896/182,338
  6. Step 6: Final answer
    x = 850,655.35

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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.