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Finding the Third Proportional to 131,012 and 280,714

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Solution

The third proportional to 131,012 and 280,714 is: 601,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,012 : 280,714 = 280,714 : x
  2. Step 2: Convert to fraction form
    131,012/280,714 = 280,714/x
  3. Step 3: Cross multiply
    131,012x = 280,714 × 280,714
  4. Step 4: Simplify right side
    131,012x = 78,800,349,796
  5. Step 5: Solve for x
    x = 78,800,349,796/131,012
  6. Step 6: Final answer
    x = 601,474.29

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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.