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Finding the Third Proportional to 164,969 and 247,449

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Solution

The third proportional to 164,969 and 247,449 is: 371,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969 : 247,449 = 247,449 : x
  2. Step 2: Convert to fraction form
    164,969/247,449 = 247,449/x
  3. Step 3: Cross multiply
    164,969x = 247,449 × 247,449
  4. Step 4: Simplify right side
    164,969x = 61,231,007,601
  5. Step 5: Solve for x
    x = 61,231,007,601/164,969
  6. Step 6: Final answer
    x = 371,166.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.