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Finding the Third Proportional to 205,848 and 451,104

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Solution

The third proportional to 205,848 and 451,104 is: 988,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,848 : 451,104 = 451,104 : x
  2. Step 2: Convert to fraction form
    205,848/451,104 = 451,104/x
  3. Step 3: Cross multiply
    205,848x = 451,104 × 451,104
  4. Step 4: Simplify right side
    205,848x = 203,494,818,816
  5. Step 5: Solve for x
    x = 203,494,818,816/205,848
  6. Step 6: Final answer
    x = 988,568.36

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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.