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Finding the Third Proportional to 154,016.44 and 310,321.13

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Solution

The third proportional to 154,016.44 and 310,321.13 is: 625,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,016.44 : 310,321.13 = 310,321.13 : x
  2. Step 2: Convert to fraction form
    154,016.44/310,321.13 = 310,321.13/x
  3. Step 3: Cross multiply
    154,016.44x = 310,321.13 × 310,321.13
  4. Step 4: Simplify right side
    154,016.44x = 96,299,200,621.27
  5. Step 5: Solve for x
    x = 96,299,200,621.27/154,016.44
  6. Step 6: Final answer
    x = 625,252.75

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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.