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Finding the Third Proportional to 176,000 and 360,204

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Solution

The third proportional to 176,000 and 360,204 is: 737,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,000 : 360,204 = 360,204 : x
  2. Step 2: Convert to fraction form
    176,000/360,204 = 360,204/x
  3. Step 3: Cross multiply
    176,000x = 360,204 × 360,204
  4. Step 4: Simplify right side
    176,000x = 129,746,921,616
  5. Step 5: Solve for x
    x = 129,746,921,616/176,000
  6. Step 6: Final answer
    x = 737,198.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.