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Finding the Third Proportional to 129,296 and 278,992

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Solution

The third proportional to 129,296 and 278,992 is: 602,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,296 : 278,992 = 278,992 : x
  2. Step 2: Convert to fraction form
    129,296/278,992 = 278,992/x
  3. Step 3: Cross multiply
    129,296x = 278,992 × 278,992
  4. Step 4: Simplify right side
    129,296x = 77,836,536,064
  5. Step 5: Solve for x
    x = 77,836,536,064/129,296
  6. Step 6: Final answer
    x = 602,002.66

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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.