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Finding the Third Proportional to 214,016 and 339,180

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Solution

The third proportional to 214,016 and 339,180 is: 537,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,016 : 339,180 = 339,180 : x
  2. Step 2: Convert to fraction form
    214,016/339,180 = 339,180/x
  3. Step 3: Cross multiply
    214,016x = 339,180 × 339,180
  4. Step 4: Simplify right side
    214,016x = 115,043,072,400
  5. Step 5: Solve for x
    x = 115,043,072,400/214,016
  6. Step 6: Final answer
    x = 537,544.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.