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Finding the Third Proportional to 178,589.25 and 243,204.75

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Solution

The third proportional to 178,589.25 and 243,204.75 is: 331,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,589.25 : 243,204.75 = 243,204.75 : x
  2. Step 2: Convert to fraction form
    178,589.25/243,204.75 = 243,204.75/x
  3. Step 3: Cross multiply
    178,589.25x = 243,204.75 × 243,204.75
  4. Step 4: Simplify right side
    178,589.25x = 59,148,550,422.56
  5. Step 5: Solve for x
    x = 59,148,550,422.56/178,589.25
  6. Step 6: Final answer
    x = 331,198.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.