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Finding the Third Proportional to 206,804 and 311,934

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Solution

The third proportional to 206,804 and 311,934 is: 470,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804 : 311,934 = 311,934 : x
  2. Step 2: Convert to fraction form
    206,804/311,934 = 311,934/x
  3. Step 3: Cross multiply
    206,804x = 311,934 × 311,934
  4. Step 4: Simplify right side
    206,804x = 97,302,820,356
  5. Step 5: Solve for x
    x = 97,302,820,356/206,804
  6. Step 6: Final answer
    x = 470,507.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.