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Finding the Third Proportional to 173,683 and 259,795

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Solution

The third proportional to 173,683 and 259,795 is: 388,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,683 : 259,795 = 259,795 : x
  2. Step 2: Convert to fraction form
    173,683/259,795 = 259,795/x
  3. Step 3: Cross multiply
    173,683x = 259,795 × 259,795
  4. Step 4: Simplify right side
    173,683x = 67,493,442,025
  5. Step 5: Solve for x
    x = 67,493,442,025/173,683
  6. Step 6: Final answer
    x = 388,601.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.