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Finding the Third Proportional to 119,508 and 251,256

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Solution

The third proportional to 119,508 and 251,256 is: 528,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,508 : 251,256 = 251,256 : x
  2. Step 2: Convert to fraction form
    119,508/251,256 = 251,256/x
  3. Step 3: Cross multiply
    119,508x = 251,256 × 251,256
  4. Step 4: Simplify right side
    119,508x = 63,129,577,536
  5. Step 5: Solve for x
    x = 63,129,577,536/119,508
  6. Step 6: Final answer
    x = 528,245.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.