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Finding the Third Proportional to 84,284 and 179,296

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Solution

The third proportional to 84,284 and 179,296 is: 381,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,284 : 179,296 = 179,296 : x
  2. Step 2: Convert to fraction form
    84,284/179,296 = 179,296/x
  3. Step 3: Cross multiply
    84,284x = 179,296 × 179,296
  4. Step 4: Simplify right side
    84,284x = 32,147,055,616
  5. Step 5: Solve for x
    x = 32,147,055,616/84,284
  6. Step 6: Final answer
    x = 381,413.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.