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Finding the Third Proportional to 168,512 and 360,026

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Solution

The third proportional to 168,512 and 360,026 is: 769,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,512 : 360,026 = 360,026 : x
  2. Step 2: Convert to fraction form
    168,512/360,026 = 360,026/x
  3. Step 3: Cross multiply
    168,512x = 360,026 × 360,026
  4. Step 4: Simplify right side
    168,512x = 129,618,720,676
  5. Step 5: Solve for x
    x = 129,618,720,676/168,512
  6. Step 6: Final answer
    x = 769,195.79

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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.