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Finding the Third Proportional to 206,094 and 427,974

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Solution

The third proportional to 206,094 and 427,974 is: 888,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,094 : 427,974 = 427,974 : x
  2. Step 2: Convert to fraction form
    206,094/427,974 = 427,974/x
  3. Step 3: Cross multiply
    206,094x = 427,974 × 427,974
  4. Step 4: Simplify right side
    206,094x = 183,161,744,676
  5. Step 5: Solve for x
    x = 183,161,744,676/206,094
  6. Step 6: Final answer
    x = 888,729.15

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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.