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Finding the Third Proportional to 188,234.50 and 276,074

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Solution

The third proportional to 188,234.50 and 276,074 is: 404,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,234.50 : 276,074 = 276,074 : x
  2. Step 2: Convert to fraction form
    188,234.50/276,074 = 276,074/x
  3. Step 3: Cross multiply
    188,234.50x = 276,074 × 276,074
  4. Step 4: Simplify right side
    188,234.50x = 76,216,853,476
  5. Step 5: Solve for x
    x = 76,216,853,476/188,234.50
  6. Step 6: Final answer
    x = 404,903.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.