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Finding the Third Proportional to 177,174 and 383,874

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Solution

The third proportional to 177,174 and 383,874 is: 831,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,174 : 383,874 = 383,874 : x
  2. Step 2: Convert to fraction form
    177,174/383,874 = 383,874/x
  3. Step 3: Cross multiply
    177,174x = 383,874 × 383,874
  4. Step 4: Simplify right side
    177,174x = 147,359,247,876
  5. Step 5: Solve for x
    x = 147,359,247,876/177,174
  6. Step 6: Final answer
    x = 831,720.50

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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.