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Finding the Third Proportional to 164,764 and 339,366

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Solution

The third proportional to 164,764 and 339,366 is: 698,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,764 : 339,366 = 339,366 : x
  2. Step 2: Convert to fraction form
    164,764/339,366 = 339,366/x
  3. Step 3: Cross multiply
    164,764x = 339,366 × 339,366
  4. Step 4: Simplify right side
    164,764x = 115,169,281,956
  5. Step 5: Solve for x
    x = 115,169,281,956/164,764
  6. Step 6: Final answer
    x = 698,995.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.