Finding the Third Proportional to 214,100 and 461,086
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Solution
The third proportional to 214,100 and 461,086 is: 992,995.33
Step by Step Solution
- Step 1: Write the proportion equation
214,100 : 461,086 = 461,086 : x - Step 2: Convert to fraction form
214,100/461,086 = 461,086/x - Step 3: Cross multiply
214,100x = 461,086 × 461,086 - Step 4: Simplify right side
214,100x = 212,600,299,396 - Step 5: Solve for x
x = 212,600,299,396/214,100 - Step 6: Final answer
x = 992,995.33
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.