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Finding the Third Proportional to 214,162 and 313,563

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Solution

The third proportional to 214,162 and 313,563 is: 459,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,162 : 313,563 = 313,563 : x
  2. Step 2: Convert to fraction form
    214,162/313,563 = 313,563/x
  3. Step 3: Cross multiply
    214,162x = 313,563 × 313,563
  4. Step 4: Simplify right side
    214,162x = 98,321,754,969
  5. Step 5: Solve for x
    x = 98,321,754,969/214,162
  6. Step 6: Final answer
    x = 459,099.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.