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Finding the Third Proportional to 119,638 and 251,676

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Solution

The third proportional to 119,638 and 251,676 is: 529,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,638 : 251,676 = 251,676 : x
  2. Step 2: Convert to fraction form
    119,638/251,676 = 251,676/x
  3. Step 3: Cross multiply
    119,638x = 251,676 × 251,676
  4. Step 4: Simplify right side
    119,638x = 63,340,808,976
  5. Step 5: Solve for x
    x = 63,340,808,976/119,638
  6. Step 6: Final answer
    x = 529,437.21

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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.