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Finding the Third Proportional to 208,018 and 447,156

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Solution

The third proportional to 208,018 and 447,156 is: 961,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,018 : 447,156 = 447,156 : x
  2. Step 2: Convert to fraction form
    208,018/447,156 = 447,156/x
  3. Step 3: Cross multiply
    208,018x = 447,156 × 447,156
  4. Step 4: Simplify right side
    208,018x = 199,948,488,336
  5. Step 5: Solve for x
    x = 199,948,488,336/208,018
  6. Step 6: Final answer
    x = 961,207.63

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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.