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Finding the Third Proportional to 191,821 and 300,903

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Solution

The third proportional to 191,821 and 300,903 is: 472,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,821 : 300,903 = 300,903 : x
  2. Step 2: Convert to fraction form
    191,821/300,903 = 300,903/x
  3. Step 3: Cross multiply
    191,821x = 300,903 × 300,903
  4. Step 4: Simplify right side
    191,821x = 90,542,615,409
  5. Step 5: Solve for x
    x = 90,542,615,409/191,821
  6. Step 6: Final answer
    x = 472,016.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.