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Finding the Third Proportional to 205,989.19 and 451,252.69

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Solution

The third proportional to 205,989.19 and 451,252.69 is: 988,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,989.19 : 451,252.69 = 451,252.69 : x
  2. Step 2: Convert to fraction form
    205,989.19/451,252.69 = 451,252.69/x
  3. Step 3: Cross multiply
    205,989.19x = 451,252.69 × 451,252.69
  4. Step 4: Simplify right side
    205,989.19x = 203,628,987,975.97
  5. Step 5: Solve for x
    x = 203,628,987,975.97/205,989.19
  6. Step 6: Final answer
    x = 988,542.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.