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Finding the Third Proportional to 191,828 and 300,912

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Solution

The third proportional to 191,828 and 300,912 is: 472,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,828 : 300,912 = 300,912 : x
  2. Step 2: Convert to fraction form
    191,828/300,912 = 300,912/x
  3. Step 3: Cross multiply
    191,828x = 300,912 × 300,912
  4. Step 4: Simplify right side
    191,828x = 90,548,031,744
  5. Step 5: Solve for x
    x = 90,548,031,744/191,828
  6. Step 6: Final answer
    x = 472,027.19

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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.