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Finding the Third Proportional to 120,674 and 264,676

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Solution

The third proportional to 120,674 and 264,676 is: 580,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,674 : 264,676 = 264,676 : x
  2. Step 2: Convert to fraction form
    120,674/264,676 = 264,676/x
  3. Step 3: Cross multiply
    120,674x = 264,676 × 264,676
  4. Step 4: Simplify right side
    120,674x = 70,053,384,976
  5. Step 5: Solve for x
    x = 70,053,384,976/120,674
  6. Step 6: Final answer
    x = 580,517.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.