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Finding the Third Proportional to 208,022 and 447,163

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Solution

The third proportional to 208,022 and 447,163 is: 961,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022 : 447,163 = 447,163 : x
  2. Step 2: Convert to fraction form
    208,022/447,163 = 447,163/x
  3. Step 3: Cross multiply
    208,022x = 447,163 × 447,163
  4. Step 4: Simplify right side
    208,022x = 199,954,748,569
  5. Step 5: Solve for x
    x = 199,954,748,569/208,022
  6. Step 6: Final answer
    x = 961,219.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.