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Finding the Third Proportional to 237,204 and 360,694

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Solution

The third proportional to 237,204 and 360,694 is: 548,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,204 : 360,694 = 360,694 : x
  2. Step 2: Convert to fraction form
    237,204/360,694 = 360,694/x
  3. Step 3: Cross multiply
    237,204x = 360,694 × 360,694
  4. Step 4: Simplify right side
    237,204x = 130,100,161,636
  5. Step 5: Solve for x
    x = 130,100,161,636/237,204
  6. Step 6: Final answer
    x = 548,473.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.