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Finding the Third Proportional to 238,014 and 343,917

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Solution

The third proportional to 238,014 and 343,917 is: 496,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,014 : 343,917 = 343,917 : x
  2. Step 2: Convert to fraction form
    238,014/343,917 = 343,917/x
  3. Step 3: Cross multiply
    238,014x = 343,917 × 343,917
  4. Step 4: Simplify right side
    238,014x = 118,278,902,889
  5. Step 5: Solve for x
    x = 118,278,902,889/238,014
  6. Step 6: Final answer
    x = 496,940.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.