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Finding the Third Proportional to 196,270 and 423,626

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Solution

The third proportional to 196,270 and 423,626 is: 914,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,270 : 423,626 = 423,626 : x
  2. Step 2: Convert to fraction form
    196,270/423,626 = 423,626/x
  3. Step 3: Cross multiply
    196,270x = 423,626 × 423,626
  4. Step 4: Simplify right side
    196,270x = 179,458,987,876
  5. Step 5: Solve for x
    x = 179,458,987,876/196,270
  6. Step 6: Final answer
    x = 914,347.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.