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Finding the Third Proportional to 190,016 and 300,869

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Solution

The third proportional to 190,016 and 300,869 is: 476,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,016 : 300,869 = 300,869 : x
  2. Step 2: Convert to fraction form
    190,016/300,869 = 300,869/x
  3. Step 3: Cross multiply
    190,016x = 300,869 × 300,869
  4. Step 4: Simplify right side
    190,016x = 90,522,155,161
  5. Step 5: Solve for x
    x = 90,522,155,161/190,016
  6. Step 6: Final answer
    x = 476,392.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.