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Finding the Third Proportional to 164,287 and 334,529

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Solution

The third proportional to 164,287 and 334,529 is: 681,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,287 : 334,529 = 334,529 : x
  2. Step 2: Convert to fraction form
    164,287/334,529 = 334,529/x
  3. Step 3: Cross multiply
    164,287x = 334,529 × 334,529
  4. Step 4: Simplify right side
    164,287x = 111,909,651,841
  5. Step 5: Solve for x
    x = 111,909,651,841/164,287
  6. Step 6: Final answer
    x = 681,183.85

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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.