Finding the Third Proportional to 109,057.50 and 227,997
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Solution
The third proportional to 109,057.50 and 227,997 is: 476,653.44
Step by Step Solution
- Step 1: Write the proportion equation
109,057.50 : 227,997 = 227,997 : x - Step 2: Convert to fraction form
109,057.50/227,997 = 227,997/x - Step 3: Cross multiply
109,057.50x = 227,997 × 227,997 - Step 4: Simplify right side
109,057.50x = 51,982,632,009 - Step 5: Solve for x
x = 51,982,632,009/109,057.50 - Step 6: Final answer
x = 476,653.44
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.