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Finding the Third Proportional to 78,267 and 169,296

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Solution

The third proportional to 78,267 and 169,296 is: 366,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,267 : 169,296 = 169,296 : x
  2. Step 2: Convert to fraction form
    78,267/169,296 = 169,296/x
  3. Step 3: Cross multiply
    78,267x = 169,296 × 169,296
  4. Step 4: Simplify right side
    78,267x = 28,661,135,616
  5. Step 5: Solve for x
    x = 28,661,135,616/78,267
  6. Step 6: Final answer
    x = 366,196.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.