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Finding the Third Proportional to 92,774 and 206,797

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Solution

The third proportional to 92,774 and 206,797 is: 460,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,774 : 206,797 = 206,797 : x
  2. Step 2: Convert to fraction form
    92,774/206,797 = 206,797/x
  3. Step 3: Cross multiply
    92,774x = 206,797 × 206,797
  4. Step 4: Simplify right side
    92,774x = 42,764,999,209
  5. Step 5: Solve for x
    x = 42,764,999,209/92,774
  6. Step 6: Final answer
    x = 460,958.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.