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Finding the Third Proportional to 168,187.50 and 280,302

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Solution

The third proportional to 168,187.50 and 280,302 is: 467,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,187.50 : 280,302 = 280,302 : x
  2. Step 2: Convert to fraction form
    168,187.50/280,302 = 280,302/x
  3. Step 3: Cross multiply
    168,187.50x = 280,302 × 280,302
  4. Step 4: Simplify right side
    168,187.50x = 78,569,211,204
  5. Step 5: Solve for x
    x = 78,569,211,204/168,187.50
  6. Step 6: Final answer
    x = 467,152.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.