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Finding the Third Proportional to 174,992 and 374,766

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Solution

The third proportional to 174,992 and 374,766 is: 802,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,992 : 374,766 = 374,766 : x
  2. Step 2: Convert to fraction form
    174,992/374,766 = 374,766/x
  3. Step 3: Cross multiply
    174,992x = 374,766 × 374,766
  4. Step 4: Simplify right side
    174,992x = 140,449,554,756
  5. Step 5: Solve for x
    x = 140,449,554,756/174,992
  6. Step 6: Final answer
    x = 802,605.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.