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Finding the Third Proportional to 180,750 and 280,212.75

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Solution

The third proportional to 180,750 and 280,212.75 is: 434,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,750 : 280,212.75 = 280,212.75 : x
  2. Step 2: Convert to fraction form
    180,750/280,212.75 = 280,212.75/x
  3. Step 3: Cross multiply
    180,750x = 280,212.75 × 280,212.75
  4. Step 4: Simplify right side
    180,750x = 78,519,185,262.56
  5. Step 5: Solve for x
    x = 78,519,185,262.56/180,750
  6. Step 6: Final answer
    x = 434,407.66

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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.