Finding the Third Proportional to 271,242 and 413,178
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Solution
The third proportional to 271,242 and 413,178 is: 629,386.52
Step by Step Solution
- Step 1: Write the proportion equation
271,242 : 413,178 = 413,178 : x - Step 2: Convert to fraction form
271,242/413,178 = 413,178/x - Step 3: Cross multiply
271,242x = 413,178 × 413,178 - Step 4: Simplify right side
271,242x = 170,716,059,684 - Step 5: Solve for x
x = 170,716,059,684/271,242 - Step 6: Final answer
x = 629,386.52
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.