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Finding the Third Proportional to 173,589 and 360,999

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Solution

The third proportional to 173,589 and 360,999 is: 750,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,589 : 360,999 = 360,999 : x
  2. Step 2: Convert to fraction form
    173,589/360,999 = 360,999/x
  3. Step 3: Cross multiply
    173,589x = 360,999 × 360,999
  4. Step 4: Simplify right side
    173,589x = 130,320,278,001
  5. Step 5: Solve for x
    x = 130,320,278,001/173,589
  6. Step 6: Final answer
    x = 750,740.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.