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Finding the Third Proportional to 74,481.75 and 175,674.75

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Solution

The third proportional to 74,481.75 and 175,674.75 is: 414,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,481.75 : 175,674.75 = 175,674.75 : x
  2. Step 2: Convert to fraction form
    74,481.75/175,674.75 = 175,674.75/x
  3. Step 3: Cross multiply
    74,481.75x = 175,674.75 × 175,674.75
  4. Step 4: Simplify right side
    74,481.75x = 30,861,617,787.56
  5. Step 5: Solve for x
    x = 30,861,617,787.56/74,481.75
  6. Step 6: Final answer
    x = 414,351.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.