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Finding the Third Proportional to 80,888 and 175,518

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Solution

The third proportional to 80,888 and 175,518 is: 380,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,888 : 175,518 = 175,518 : x
  2. Step 2: Convert to fraction form
    80,888/175,518 = 175,518/x
  3. Step 3: Cross multiply
    80,888x = 175,518 × 175,518
  4. Step 4: Simplify right side
    80,888x = 30,806,568,324
  5. Step 5: Solve for x
    x = 30,806,568,324/80,888
  6. Step 6: Final answer
    x = 380,854.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.