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Finding the Third Proportional to 169,256 and 367,690

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Solution

The third proportional to 169,256 and 367,690 is: 798,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,256 : 367,690 = 367,690 : x
  2. Step 2: Convert to fraction form
    169,256/367,690 = 367,690/x
  3. Step 3: Cross multiply
    169,256x = 367,690 × 367,690
  4. Step 4: Simplify right side
    169,256x = 135,195,936,100
  5. Step 5: Solve for x
    x = 135,195,936,100/169,256
  6. Step 6: Final answer
    x = 798,765.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.