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Finding the Third Proportional to 206,116 and 477,194

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Solution

The third proportional to 206,116 and 477,194 is: 1,104,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,116 : 477,194 = 477,194 : x
  2. Step 2: Convert to fraction form
    206,116/477,194 = 477,194/x
  3. Step 3: Cross multiply
    206,116x = 477,194 × 477,194
  4. Step 4: Simplify right side
    206,116x = 227,714,113,636
  5. Step 5: Solve for x
    x = 227,714,113,636/206,116
  6. Step 6: Final answer
    x = 1,104,786.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.