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Finding the Third Proportional to 180,517 and 280,647

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Solution

The third proportional to 180,517 and 280,647 is: 436,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,517 : 280,647 = 280,647 : x
  2. Step 2: Convert to fraction form
    180,517/280,647 = 280,647/x
  3. Step 3: Cross multiply
    180,517x = 280,647 × 280,647
  4. Step 4: Simplify right side
    180,517x = 78,762,738,609
  5. Step 5: Solve for x
    x = 78,762,738,609/180,517
  6. Step 6: Final answer
    x = 436,317.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.