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Finding the Third Proportional to 191,738 and 300,122

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Solution

The third proportional to 191,738 and 300,122 is: 469,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,738 : 300,122 = 300,122 : x
  2. Step 2: Convert to fraction form
    191,738/300,122 = 300,122/x
  3. Step 3: Cross multiply
    191,738x = 300,122 × 300,122
  4. Step 4: Simplify right side
    191,738x = 90,073,214,884
  5. Step 5: Solve for x
    x = 90,073,214,884/191,738
  6. Step 6: Final answer
    x = 469,772.37

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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.