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Finding the Third Proportional to 196,759 and 434,864

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Solution

The third proportional to 196,759 and 434,864 is: 961,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,759 : 434,864 = 434,864 : x
  2. Step 2: Convert to fraction form
    196,759/434,864 = 434,864/x
  3. Step 3: Cross multiply
    196,759x = 434,864 × 434,864
  4. Step 4: Simplify right side
    196,759x = 189,106,698,496
  5. Step 5: Solve for x
    x = 189,106,698,496/196,759
  6. Step 6: Final answer
    x = 961,108.25

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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.