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Finding the Third Proportional to 199,469 and 432,163

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Solution

The third proportional to 199,469 and 432,163 is: 936,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469 : 432,163 = 432,163 : x
  2. Step 2: Convert to fraction form
    199,469/432,163 = 432,163/x
  3. Step 3: Cross multiply
    199,469x = 432,163 × 432,163
  4. Step 4: Simplify right side
    199,469x = 186,764,858,569
  5. Step 5: Solve for x
    x = 186,764,858,569/199,469
  6. Step 6: Final answer
    x = 936,310.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.