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Finding the Third Proportional to 196,556 and 408,661

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Solution

The third proportional to 196,556 and 408,661 is: 849,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,556 : 408,661 = 408,661 : x
  2. Step 2: Convert to fraction form
    196,556/408,661 = 408,661/x
  3. Step 3: Cross multiply
    196,556x = 408,661 × 408,661
  4. Step 4: Simplify right side
    196,556x = 167,003,812,921
  5. Step 5: Solve for x
    x = 167,003,812,921/196,556
  6. Step 6: Final answer
    x = 849,650.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.