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Finding the Third Proportional to 205,970 and 451,306

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Solution

The third proportional to 205,970 and 451,306 is: 988,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,970 : 451,306 = 451,306 : x
  2. Step 2: Convert to fraction form
    205,970/451,306 = 451,306/x
  3. Step 3: Cross multiply
    205,970x = 451,306 × 451,306
  4. Step 4: Simplify right side
    205,970x = 203,677,105,636
  5. Step 5: Solve for x
    x = 203,677,105,636/205,970
  6. Step 6: Final answer
    x = 988,867.82

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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.