Finding the Third Proportional to 165,833 and 389,797
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Solution
The third proportional to 165,833 and 389,797 is: 916,233.21
Step by Step Solution
- Step 1: Write the proportion equation
165,833 : 389,797 = 389,797 : x - Step 2: Convert to fraction form
165,833/389,797 = 389,797/x - Step 3: Cross multiply
165,833x = 389,797 × 389,797 - Step 4: Simplify right side
165,833x = 151,941,701,209 - Step 5: Solve for x
x = 151,941,701,209/165,833 - Step 6: Final answer
x = 916,233.21
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.