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Finding the Third Proportional to 185,951 and 381,703

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Solution

The third proportional to 185,951 and 381,703 is: 783,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,951 : 381,703 = 381,703 : x
  2. Step 2: Convert to fraction form
    185,951/381,703 = 381,703/x
  3. Step 3: Cross multiply
    185,951x = 381,703 × 381,703
  4. Step 4: Simplify right side
    185,951x = 145,697,180,209
  5. Step 5: Solve for x
    x = 145,697,180,209/185,951
  6. Step 6: Final answer
    x = 783,524.59

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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.