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Finding the Third Proportional to 178,536 and 244,812

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Solution

The third proportional to 178,536 and 244,812 is: 335,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536 : 244,812 = 244,812 : x
  2. Step 2: Convert to fraction form
    178,536/244,812 = 244,812/x
  3. Step 3: Cross multiply
    178,536x = 244,812 × 244,812
  4. Step 4: Simplify right side
    178,536x = 59,932,915,344
  5. Step 5: Solve for x
    x = 59,932,915,344/178,536
  6. Step 6: Final answer
    x = 335,690.93

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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.