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Finding the Third Proportional to 80,823 and 175,888

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Solution

The third proportional to 80,823 and 175,888 is: 382,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,823 : 175,888 = 175,888 : x
  2. Step 2: Convert to fraction form
    80,823/175,888 = 175,888/x
  3. Step 3: Cross multiply
    80,823x = 175,888 × 175,888
  4. Step 4: Simplify right side
    80,823x = 30,936,588,544
  5. Step 5: Solve for x
    x = 30,936,588,544/80,823
  6. Step 6: Final answer
    x = 382,769.61

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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.