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Finding the Third Proportional to 83,608.50 and 180,279

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Solution

The third proportional to 83,608.50 and 180,279 is: 388,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608.50 : 180,279 = 180,279 : x
  2. Step 2: Convert to fraction form
    83,608.50/180,279 = 180,279/x
  3. Step 3: Cross multiply
    83,608.50x = 180,279 × 180,279
  4. Step 4: Simplify right side
    83,608.50x = 32,500,517,841
  5. Step 5: Solve for x
    x = 32,500,517,841/83,608.50
  6. Step 6: Final answer
    x = 388,722.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.