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Finding the Third Proportional to 80,395 and 176,827

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Solution

The third proportional to 80,395 and 176,827 is: 388,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,395 : 176,827 = 176,827 : x
  2. Step 2: Convert to fraction form
    80,395/176,827 = 176,827/x
  3. Step 3: Cross multiply
    80,395x = 176,827 × 176,827
  4. Step 4: Simplify right side
    80,395x = 31,267,787,929
  5. Step 5: Solve for x
    x = 31,267,787,929/80,395
  6. Step 6: Final answer
    x = 388,927.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.