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Finding the Third Proportional to 196,777 and 434,899

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Solution

The third proportional to 196,777 and 434,899 is: 961,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,777 : 434,899 = 434,899 : x
  2. Step 2: Convert to fraction form
    196,777/434,899 = 434,899/x
  3. Step 3: Cross multiply
    196,777x = 434,899 × 434,899
  4. Step 4: Simplify right side
    196,777x = 189,137,140,201
  5. Step 5: Solve for x
    x = 189,137,140,201/196,777
  6. Step 6: Final answer
    x = 961,175.04

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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.