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Finding the Third Proportional to 179,863 and 388,543

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Solution

The third proportional to 179,863 and 388,543 is: 839,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,863 : 388,543 = 388,543 : x
  2. Step 2: Convert to fraction form
    179,863/388,543 = 388,543/x
  3. Step 3: Cross multiply
    179,863x = 388,543 × 388,543
  4. Step 4: Simplify right side
    179,863x = 150,965,662,849
  5. Step 5: Solve for x
    x = 150,965,662,849/179,863
  6. Step 6: Final answer
    x = 839,336.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.