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Finding the Third Proportional to 169,238 and 367,636

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Solution

The third proportional to 169,238 and 367,636 is: 798,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,238 : 367,636 = 367,636 : x
  2. Step 2: Convert to fraction form
    169,238/367,636 = 367,636/x
  3. Step 3: Cross multiply
    169,238x = 367,636 × 367,636
  4. Step 4: Simplify right side
    169,238x = 135,156,228,496
  5. Step 5: Solve for x
    x = 135,156,228,496/169,238
  6. Step 6: Final answer
    x = 798,616.32

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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.