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Finding the Third Proportional to 178,619 and 381,802

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Solution

The third proportional to 178,619 and 381,802 is: 816,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,619 : 381,802 = 381,802 : x
  2. Step 2: Convert to fraction form
    178,619/381,802 = 381,802/x
  3. Step 3: Cross multiply
    178,619x = 381,802 × 381,802
  4. Step 4: Simplify right side
    178,619x = 145,772,767,204
  5. Step 5: Solve for x
    x = 145,772,767,204/178,619
  6. Step 6: Final answer
    x = 816,110.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.