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Finding the Third Proportional to 196,761 and 434,868

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Solution

The third proportional to 196,761 and 434,868 is: 961,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,761 : 434,868 = 434,868 : x
  2. Step 2: Convert to fraction form
    196,761/434,868 = 434,868/x
  3. Step 3: Cross multiply
    196,761x = 434,868 × 434,868
  4. Step 4: Simplify right side
    196,761x = 189,110,177,424
  5. Step 5: Solve for x
    x = 189,110,177,424/196,761
  6. Step 6: Final answer
    x = 961,116.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.