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Finding the Third Proportional to 180,711 and 381,766.50

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Solution

The third proportional to 180,711 and 381,766.50 is: 806,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,711 : 381,766.50 = 381,766.50 : x
  2. Step 2: Convert to fraction form
    180,711/381,766.50 = 381,766.50/x
  3. Step 3: Cross multiply
    180,711x = 381,766.50 × 381,766.50
  4. Step 4: Simplify right side
    180,711x = 145,745,660,522.25
  5. Step 5: Solve for x
    x = 145,745,660,522.25/180,711
  6. Step 6: Final answer
    x = 806,512.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.