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Finding the Third Proportional to 205,918.24 and 445,147.10

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Solution

The third proportional to 205,918.24 and 445,147.10 is: 962,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,918.24 : 445,147.10 = 445,147.10 : x
  2. Step 2: Convert to fraction form
    205,918.24/445,147.10 = 445,147.10/x
  3. Step 3: Cross multiply
    205,918.24x = 445,147.10 × 445,147.10
  4. Step 4: Simplify right side
    205,918.24x = 198,155,942,029.50
  5. Step 5: Solve for x
    x = 198,155,942,029.50/205,918.24
  6. Step 6: Final answer
    x = 962,303.97

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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.