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Finding the Third Proportional to 131,002 and 280,697

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Solution

The third proportional to 131,002 and 280,697 is: 601,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,002 : 280,697 = 280,697 : x
  2. Step 2: Convert to fraction form
    131,002/280,697 = 280,697/x
  3. Step 3: Cross multiply
    131,002x = 280,697 × 280,697
  4. Step 4: Simplify right side
    131,002x = 78,790,805,809
  5. Step 5: Solve for x
    x = 78,790,805,809/131,002
  6. Step 6: Final answer
    x = 601,447.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.