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Finding the Third Proportional to 196,757 and 434,860

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Solution

The third proportional to 196,757 and 434,860 is: 961,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,757 : 434,860 = 434,860 : x
  2. Step 2: Convert to fraction form
    196,757/434,860 = 434,860/x
  3. Step 3: Cross multiply
    196,757x = 434,860 × 434,860
  4. Step 4: Simplify right side
    196,757x = 189,103,219,600
  5. Step 5: Solve for x
    x = 189,103,219,600/196,757
  6. Step 6: Final answer
    x = 961,100.34

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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.