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Finding the Third Proportional to 208,092 and 311,568

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Solution

The third proportional to 208,092 and 311,568 is: 466,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092 : 311,568 = 311,568 : x
  2. Step 2: Convert to fraction form
    208,092/311,568 = 311,568/x
  3. Step 3: Cross multiply
    208,092x = 311,568 × 311,568
  4. Step 4: Simplify right side
    208,092x = 97,074,618,624
  5. Step 5: Solve for x
    x = 97,074,618,624/208,092
  6. Step 6: Final answer
    x = 466,498.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.