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Finding the Third Proportional to 176,072 and 380,204

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Solution

The third proportional to 176,072 and 380,204 is: 820,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,072 : 380,204 = 380,204 : x
  2. Step 2: Convert to fraction form
    176,072/380,204 = 380,204/x
  3. Step 3: Cross multiply
    176,072x = 380,204 × 380,204
  4. Step 4: Simplify right side
    176,072x = 144,555,081,616
  5. Step 5: Solve for x
    x = 144,555,081,616/176,072
  6. Step 6: Final answer
    x = 820,999.83

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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.