Finding the Third Proportional to 104,896 and 227,296
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Solution
The third proportional to 104,896 and 227,296 is: 492,520.89
Step by Step Solution
- Step 1: Write the proportion equation
104,896 : 227,296 = 227,296 : x - Step 2: Convert to fraction form
104,896/227,296 = 227,296/x - Step 3: Cross multiply
104,896x = 227,296 × 227,296 - Step 4: Simplify right side
104,896x = 51,663,471,616 - Step 5: Solve for x
x = 51,663,471,616/104,896 - Step 6: Final answer
x = 492,520.89
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.