Finding the Third Proportional to 189,904 and 397,350
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Solution
The third proportional to 189,904 and 397,350 is: 831,404.41
Step by Step Solution
- Step 1: Write the proportion equation
189,904 : 397,350 = 397,350 : x - Step 2: Convert to fraction form
189,904/397,350 = 397,350/x - Step 3: Cross multiply
189,904x = 397,350 × 397,350 - Step 4: Simplify right side
189,904x = 157,887,022,500 - Step 5: Solve for x
x = 157,887,022,500/189,904 - Step 6: Final answer
x = 831,404.41
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.