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Finding the Third Proportional to 196,720 and 422,109

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Solution

The third proportional to 196,720 and 422,109 is: 905,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,720 : 422,109 = 422,109 : x
  2. Step 2: Convert to fraction form
    196,720/422,109 = 422,109/x
  3. Step 3: Cross multiply
    196,720x = 422,109 × 422,109
  4. Step 4: Simplify right side
    196,720x = 178,176,007,881
  5. Step 5: Solve for x
    x = 178,176,007,881/196,720
  6. Step 6: Final answer
    x = 905,734.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.