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Finding the Third Proportional to 214,874 and 329,172

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Solution

The third proportional to 214,874 and 329,172 is: 504,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,874 : 329,172 = 329,172 : x
  2. Step 2: Convert to fraction form
    214,874/329,172 = 329,172/x
  3. Step 3: Cross multiply
    214,874x = 329,172 × 329,172
  4. Step 4: Simplify right side
    214,874x = 108,354,205,584
  5. Step 5: Solve for x
    x = 108,354,205,584/214,874
  6. Step 6: Final answer
    x = 504,268.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.