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Finding the Third Proportional to 206,092 and 427,976

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Solution

The third proportional to 206,092 and 427,976 is: 888,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,092 : 427,976 = 427,976 : x
  2. Step 2: Convert to fraction form
    206,092/427,976 = 427,976/x
  3. Step 3: Cross multiply
    206,092x = 427,976 × 427,976
  4. Step 4: Simplify right side
    206,092x = 183,163,456,576
  5. Step 5: Solve for x
    x = 183,163,456,576/206,092
  6. Step 6: Final answer
    x = 888,746.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.