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Finding the Third Proportional to 207,337 and 311,795

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Solution

The third proportional to 207,337 and 311,795 is: 468,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,337 : 311,795 = 311,795 : x
  2. Step 2: Convert to fraction form
    207,337/311,795 = 311,795/x
  3. Step 3: Cross multiply
    207,337x = 311,795 × 311,795
  4. Step 4: Simplify right side
    207,337x = 97,216,122,025
  5. Step 5: Solve for x
    x = 97,216,122,025/207,337
  6. Step 6: Final answer
    x = 468,879.76

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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.