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Finding the Third Proportional to 177,624.75 and 381,601.50

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Solution

The third proportional to 177,624.75 and 381,601.50 is: 819,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624.75 : 381,601.50 = 381,601.50 : x
  2. Step 2: Convert to fraction form
    177,624.75/381,601.50 = 381,601.50/x
  3. Step 3: Cross multiply
    177,624.75x = 381,601.50 × 381,601.50
  4. Step 4: Simplify right side
    177,624.75x = 145,619,704,802.25
  5. Step 5: Solve for x
    x = 145,619,704,802.25/177,624.75
  6. Step 6: Final answer
    x = 819,816.52

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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.