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Finding the Third Proportional to 129,976 and 279,296

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Solution

The third proportional to 129,976 and 279,296 is: 600,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,976 : 279,296 = 279,296 : x
  2. Step 2: Convert to fraction form
    129,976/279,296 = 279,296/x
  3. Step 3: Cross multiply
    129,976x = 279,296 × 279,296
  4. Step 4: Simplify right side
    129,976x = 78,006,255,616
  5. Step 5: Solve for x
    x = 78,006,255,616/129,976
  6. Step 6: Final answer
    x = 600,158.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.