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Finding the Third Proportional to 174,528.75 and 280,014.75

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Solution

The third proportional to 174,528.75 and 280,014.75 is: 449,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,528.75 : 280,014.75 = 280,014.75 : x
  2. Step 2: Convert to fraction form
    174,528.75/280,014.75 = 280,014.75/x
  3. Step 3: Cross multiply
    174,528.75x = 280,014.75 × 280,014.75
  4. Step 4: Simplify right side
    174,528.75x = 78,408,260,217.56
  5. Step 5: Solve for x
    x = 78,408,260,217.56/174,528.75
  6. Step 6: Final answer
    x = 449,256.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.