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Finding the Third Proportional to 177,660.50 and 381,673

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Solution

The third proportional to 177,660.50 and 381,673 is: 819,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,660.50 : 381,673 = 381,673 : x
  2. Step 2: Convert to fraction form
    177,660.50/381,673 = 381,673/x
  3. Step 3: Cross multiply
    177,660.50x = 381,673 × 381,673
  4. Step 4: Simplify right side
    177,660.50x = 145,674,278,929
  5. Step 5: Solve for x
    x = 145,674,278,929/177,660.50
  6. Step 6: Final answer
    x = 819,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.