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Finding the Third Proportional to 207,626 and 311,441

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Solution

The third proportional to 207,626 and 311,441 is: 467,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,626 : 311,441 = 311,441 : x
  2. Step 2: Convert to fraction form
    207,626/311,441 = 311,441/x
  3. Step 3: Cross multiply
    207,626x = 311,441 × 311,441
  4. Step 4: Simplify right side
    207,626x = 96,995,496,481
  5. Step 5: Solve for x
    x = 96,995,496,481/207,626
  6. Step 6: Final answer
    x = 467,164.50

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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.