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Finding the Third Proportional to 205,966 and 451,300

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Solution

The third proportional to 205,966 and 451,300 is: 988,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,966 : 451,300 = 451,300 : x
  2. Step 2: Convert to fraction form
    205,966/451,300 = 451,300/x
  3. Step 3: Cross multiply
    205,966x = 451,300 × 451,300
  4. Step 4: Simplify right side
    205,966x = 203,671,690,000
  5. Step 5: Solve for x
    x = 203,671,690,000/205,966
  6. Step 6: Final answer
    x = 988,860.73

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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.