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Finding the Third Proportional to 208,018 and 447,155

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Solution

The third proportional to 208,018 and 447,155 is: 961,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,018 : 447,155 = 447,155 : x
  2. Step 2: Convert to fraction form
    208,018/447,155 = 447,155/x
  3. Step 3: Cross multiply
    208,018x = 447,155 × 447,155
  4. Step 4: Simplify right side
    208,018x = 199,947,594,025
  5. Step 5: Solve for x
    x = 199,947,594,025/208,018
  6. Step 6: Final answer
    x = 961,203.33

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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.