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Finding the Third Proportional to 80,704 and 176,152

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Solution

The third proportional to 80,704 and 176,152 is: 384,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,704 : 176,152 = 176,152 : x
  2. Step 2: Convert to fraction form
    80,704/176,152 = 176,152/x
  3. Step 3: Cross multiply
    80,704x = 176,152 × 176,152
  4. Step 4: Simplify right side
    80,704x = 31,029,527,104
  5. Step 5: Solve for x
    x = 31,029,527,104/80,704
  6. Step 6: Final answer
    x = 384,485.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.