Finding the Third Proportional to 226,676 and 493,096
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Solution
The third proportional to 226,676 and 493,096 is: 1,072,648.47
Step by Step Solution
- Step 1: Write the proportion equation
226,676 : 493,096 = 493,096 : x - Step 2: Convert to fraction form
226,676/493,096 = 493,096/x - Step 3: Cross multiply
226,676x = 493,096 × 493,096 - Step 4: Simplify right side
226,676x = 243,143,665,216 - Step 5: Solve for x
x = 243,143,665,216/226,676 - Step 6: Final answer
x = 1,072,648.47
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.