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Finding the Third Proportional to 178,367 and 269,063

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Solution

The third proportional to 178,367 and 269,063 is: 405,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,367 : 269,063 = 269,063 : x
  2. Step 2: Convert to fraction form
    178,367/269,063 = 269,063/x
  3. Step 3: Cross multiply
    178,367x = 269,063 × 269,063
  4. Step 4: Simplify right side
    178,367x = 72,394,897,969
  5. Step 5: Solve for x
    x = 72,394,897,969/178,367
  6. Step 6: Final answer
    x = 405,876.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.