Finding the Third Proportional to 191,436 and 421,464
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Solution
The third proportional to 191,436 and 421,464 is: 927,891.85
Step by Step Solution
- Step 1: Write the proportion equation
191,436 : 421,464 = 421,464 : x - Step 2: Convert to fraction form
191,436/421,464 = 421,464/x - Step 3: Cross multiply
191,436x = 421,464 × 421,464 - Step 4: Simplify right side
191,436x = 177,631,903,296 - Step 5: Solve for x
x = 177,631,903,296/191,436 - Step 6: Final answer
x = 927,891.85
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.