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Finding the Third Proportional to 131,263.75 and 280,520.50

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Solution

The third proportional to 131,263.75 and 280,520.50 is: 599,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,263.75 : 280,520.50 = 280,520.50 : x
  2. Step 2: Convert to fraction form
    131,263.75/280,520.50 = 280,520.50/x
  3. Step 3: Cross multiply
    131,263.75x = 280,520.50 × 280,520.50
  4. Step 4: Simplify right side
    131,263.75x = 78,691,750,920.25
  5. Step 5: Solve for x
    x = 78,691,750,920.25/131,263.75
  6. Step 6: Final answer
    x = 599,493.39

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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.