Finding the Third Proportional to 227,136 and 491,886
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Solution
The third proportional to 227,136 and 491,886 is: 1,065,228.92
Step by Step Solution
- Step 1: Write the proportion equation
227,136 : 491,886 = 491,886 : x - Step 2: Convert to fraction form
227,136/491,886 = 491,886/x - Step 3: Cross multiply
227,136x = 491,886 × 491,886 - Step 4: Simplify right side
227,136x = 241,951,836,996 - Step 5: Solve for x
x = 241,951,836,996/227,136 - Step 6: Final answer
x = 1,065,228.92
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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.