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Finding the Third Proportional to 205,399.13 and 442,396.69

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Solution

The third proportional to 205,399.13 and 442,396.69 is: 952,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,399.13 : 442,396.69 = 442,396.69 : x
  2. Step 2: Convert to fraction form
    205,399.13/442,396.69 = 442,396.69/x
  3. Step 3: Cross multiply
    205,399.13x = 442,396.69 × 442,396.69
  4. Step 4: Simplify right side
    205,399.13x = 195,714,829,110.97
  5. Step 5: Solve for x
    x = 195,714,829,110.97/205,399.13
  6. Step 6: Final answer
    x = 952,851.33

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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.