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Finding the Third Proportional to 176,068 and 380,198

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Solution

The third proportional to 176,068 and 380,198 is: 820,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,068 : 380,198 = 380,198 : x
  2. Step 2: Convert to fraction form
    176,068/380,198 = 380,198/x
  3. Step 3: Cross multiply
    176,068x = 380,198 × 380,198
  4. Step 4: Simplify right side
    176,068x = 144,550,519,204
  5. Step 5: Solve for x
    x = 144,550,519,204/176,068
  6. Step 6: Final answer
    x = 820,992.57

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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.