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Finding the Third Proportional to 179,158 and 388,204

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Solution

The third proportional to 179,158 and 388,204 is: 841,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,158 : 388,204 = 388,204 : x
  2. Step 2: Convert to fraction form
    179,158/388,204 = 388,204/x
  3. Step 3: Cross multiply
    179,158x = 388,204 × 388,204
  4. Step 4: Simplify right side
    179,158x = 150,702,345,616
  5. Step 5: Solve for x
    x = 150,702,345,616/179,158
  6. Step 6: Final answer
    x = 841,170.06

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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.