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Finding the Third Proportional to 207,115.73 and 446,911.17

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Solution

The third proportional to 207,115.73 and 446,911.17 is: 964,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,115.73 : 446,911.17 = 446,911.17 : x
  2. Step 2: Convert to fraction form
    207,115.73/446,911.17 = 446,911.17/x
  3. Step 3: Cross multiply
    207,115.73x = 446,911.17 × 446,911.17
  4. Step 4: Simplify right side
    207,115.73x = 199,729,595,546.69
  5. Step 5: Solve for x
    x = 199,729,595,546.69/207,115.73
  6. Step 6: Final answer
    x = 964,338.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.