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Finding the Third Proportional to 199,705 and 434,675

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Solution

The third proportional to 199,705 and 434,675 is: 946,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,705 : 434,675 = 434,675 : x
  2. Step 2: Convert to fraction form
    199,705/434,675 = 434,675/x
  3. Step 3: Cross multiply
    199,705x = 434,675 × 434,675
  4. Step 4: Simplify right side
    199,705x = 188,942,355,625
  5. Step 5: Solve for x
    x = 188,942,355,625/199,705
  6. Step 6: Final answer
    x = 946,107.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.