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Finding the Third Proportional to 177,062 and 383,626

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Solution

The third proportional to 177,062 and 383,626 is: 831,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,062 : 383,626 = 383,626 : x
  2. Step 2: Convert to fraction form
    177,062/383,626 = 383,626/x
  3. Step 3: Cross multiply
    177,062x = 383,626 × 383,626
  4. Step 4: Simplify right side
    177,062x = 147,168,907,876
  5. Step 5: Solve for x
    x = 147,168,907,876/177,062
  6. Step 6: Final answer
    x = 831,171.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.