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Finding the Third Proportional to 171,738 and 373,992

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Solution

The third proportional to 171,738 and 373,992 is: 814,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,738 : 373,992 = 373,992 : x
  2. Step 2: Convert to fraction form
    171,738/373,992 = 373,992/x
  3. Step 3: Cross multiply
    171,738x = 373,992 × 373,992
  4. Step 4: Simplify right side
    171,738x = 139,870,016,064
  5. Step 5: Solve for x
    x = 139,870,016,064/171,738
  6. Step 6: Final answer
    x = 814,438.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.