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Finding the Third Proportional to 205,905 and 451,176

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Solution

The third proportional to 205,905 and 451,176 is: 988,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,905 : 451,176 = 451,176 : x
  2. Step 2: Convert to fraction form
    205,905/451,176 = 451,176/x
  3. Step 3: Cross multiply
    205,905x = 451,176 × 451,176
  4. Step 4: Simplify right side
    205,905x = 203,559,782,976
  5. Step 5: Solve for x
    x = 203,559,782,976/205,905
  6. Step 6: Final answer
    x = 988,610.20

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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.