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Finding the Third Proportional to 192,774 and 417,725

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Solution

The third proportional to 192,774 and 417,725 is: 905,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,774 : 417,725 = 417,725 : x
  2. Step 2: Convert to fraction form
    192,774/417,725 = 417,725/x
  3. Step 3: Cross multiply
    192,774x = 417,725 × 417,725
  4. Step 4: Simplify right side
    192,774x = 174,494,175,625
  5. Step 5: Solve for x
    x = 174,494,175,625/192,774
  6. Step 6: Final answer
    x = 905,174.85

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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.