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Finding the Third Proportional to 164,285 and 334,525

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Solution

The third proportional to 164,285 and 334,525 is: 681,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,285 : 334,525 = 334,525 : x
  2. Step 2: Convert to fraction form
    164,285/334,525 = 334,525/x
  3. Step 3: Cross multiply
    164,285x = 334,525 × 334,525
  4. Step 4: Simplify right side
    164,285x = 111,906,975,625
  5. Step 5: Solve for x
    x = 111,906,975,625/164,285
  6. Step 6: Final answer
    x = 681,175.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.