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Finding the Third Proportional to 100,680 and 205,728

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Solution

The third proportional to 100,680 and 205,728 is: 420,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,680 : 205,728 = 205,728 : x
  2. Step 2: Convert to fraction form
    100,680/205,728 = 205,728/x
  3. Step 3: Cross multiply
    100,680x = 205,728 × 205,728
  4. Step 4: Simplify right side
    100,680x = 42,324,009,984
  5. Step 5: Solve for x
    x = 42,324,009,984/100,680
  6. Step 6: Final answer
    x = 420,381.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.