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Finding the Third Proportional to 191,763 and 300,834

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Solution

The third proportional to 191,763 and 300,834 is: 471,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,763 : 300,834 = 300,834 : x
  2. Step 2: Convert to fraction form
    191,763/300,834 = 300,834/x
  3. Step 3: Cross multiply
    191,763x = 300,834 × 300,834
  4. Step 4: Simplify right side
    191,763x = 90,501,095,556
  5. Step 5: Solve for x
    x = 90,501,095,556/191,763
  6. Step 6: Final answer
    x = 471,942.43

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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.