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Finding the Third Proportional to 196,222 and 423,802

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Solution

The third proportional to 196,222 and 423,802 is: 915,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,222 : 423,802 = 423,802 : x
  2. Step 2: Convert to fraction form
    196,222/423,802 = 423,802/x
  3. Step 3: Cross multiply
    196,222x = 423,802 × 423,802
  4. Step 4: Simplify right side
    196,222x = 179,608,135,204
  5. Step 5: Solve for x
    x = 179,608,135,204/196,222
  6. Step 6: Final answer
    x = 915,331.28

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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.