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Finding the Third Proportional to 185,621.63 and 279,252.56

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Solution

The third proportional to 185,621.63 and 279,252.56 is: 420,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,621.63 : 279,252.56 = 279,252.56 : x
  2. Step 2: Convert to fraction form
    185,621.63/279,252.56 = 279,252.56/x
  3. Step 3: Cross multiply
    185,621.63x = 279,252.56 × 279,252.56
  4. Step 4: Simplify right side
    185,621.63x = 77,981,993,662.82
  5. Step 5: Solve for x
    x = 77,981,993,662.82/185,621.63
  6. Step 6: Final answer
    x = 420,112.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.