Finding the Third Proportional to 192,523 and 449,819
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Solution
The third proportional to 192,523 and 449,819 is: 1,050,976.42
Step by Step Solution
- Step 1: Write the proportion equation
192,523 : 449,819 = 449,819 : x - Step 2: Convert to fraction form
192,523/449,819 = 449,819/x - Step 3: Cross multiply
192,523x = 449,819 × 449,819 - Step 4: Simplify right side
192,523x = 202,337,132,761 - Step 5: Solve for x
x = 202,337,132,761/192,523 - Step 6: Final answer
x = 1,050,976.42
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.