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Finding the Third Proportional to 207,198 and 446,278

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Solution

The third proportional to 207,198 and 446,278 is: 961,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198 : 446,278 = 446,278 : x
  2. Step 2: Convert to fraction form
    207,198/446,278 = 446,278/x
  3. Step 3: Cross multiply
    207,198x = 446,278 × 446,278
  4. Step 4: Simplify right side
    207,198x = 199,164,053,284
  5. Step 5: Solve for x
    x = 199,164,053,284/207,198
  6. Step 6: Final answer
    x = 961,225.75

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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.