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Finding the Third Proportional to 190,647 and 405,945

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Solution

The third proportional to 190,647 and 405,945 is: 864,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,647 : 405,945 = 405,945 : x
  2. Step 2: Convert to fraction form
    190,647/405,945 = 405,945/x
  3. Step 3: Cross multiply
    190,647x = 405,945 × 405,945
  4. Step 4: Simplify right side
    190,647x = 164,791,343,025
  5. Step 5: Solve for x
    x = 164,791,343,025/190,647
  6. Step 6: Final answer
    x = 864,379.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.