Finding the Third Proportional to 200,064 and 426,912
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Solution
The third proportional to 200,064 and 426,912 is: 910,977.77
Step by Step Solution
- Step 1: Write the proportion equation
200,064 : 426,912 = 426,912 : x - Step 2: Convert to fraction form
200,064/426,912 = 426,912/x - Step 3: Cross multiply
200,064x = 426,912 × 426,912 - Step 4: Simplify right side
200,064x = 182,253,855,744 - Step 5: Solve for x
x = 182,253,855,744/200,064 - Step 6: Final answer
x = 910,977.77
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.