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Finding the Third Proportional to 196,717.50 and 422,104.50

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Solution

The third proportional to 196,717.50 and 422,104.50 is: 905,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,717.50 : 422,104.50 = 422,104.50 : x
  2. Step 2: Convert to fraction form
    196,717.50/422,104.50 = 422,104.50/x
  3. Step 3: Cross multiply
    196,717.50x = 422,104.50 × 422,104.50
  4. Step 4: Simplify right side
    196,717.50x = 178,172,208,920.25
  5. Step 5: Solve for x
    x = 178,172,208,920.25/196,717.50
  6. Step 6: Final answer
    x = 905,726.28

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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.