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Finding the Third Proportional to 164,751 and 339,341

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Solution

The third proportional to 164,751 and 339,341 is: 698,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,751 : 339,341 = 339,341 : x
  2. Step 2: Convert to fraction form
    164,751/339,341 = 339,341/x
  3. Step 3: Cross multiply
    164,751x = 339,341 × 339,341
  4. Step 4: Simplify right side
    164,751x = 115,152,314,281
  5. Step 5: Solve for x
    x = 115,152,314,281/164,751
  6. Step 6: Final answer
    x = 698,947.59

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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.