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Finding the Third Proportional to 206,980 and 447,176

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Solution

The third proportional to 206,980 and 447,176 is: 966,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,980 : 447,176 = 447,176 : x
  2. Step 2: Convert to fraction form
    206,980/447,176 = 447,176/x
  3. Step 3: Cross multiply
    206,980x = 447,176 × 447,176
  4. Step 4: Simplify right side
    206,980x = 199,966,374,976
  5. Step 5: Solve for x
    x = 199,966,374,976/206,980
  6. Step 6: Final answer
    x = 966,114.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.