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Finding the Third Proportional to 178,383 and 244,611

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Solution

The third proportional to 178,383 and 244,611 is: 335,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,383 : 244,611 = 244,611 : x
  2. Step 2: Convert to fraction form
    178,383/244,611 = 244,611/x
  3. Step 3: Cross multiply
    178,383x = 244,611 × 244,611
  4. Step 4: Simplify right side
    178,383x = 59,834,541,321
  5. Step 5: Solve for x
    x = 59,834,541,321/178,383
  6. Step 6: Final answer
    x = 335,427.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.