Finding the Third Proportional to 198,412 and 468,286
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Solution
The third proportional to 198,412 and 468,286 is: 1,105,234.45
Step by Step Solution
- Step 1: Write the proportion equation
198,412 : 468,286 = 468,286 : x - Step 2: Convert to fraction form
198,412/468,286 = 468,286/x - Step 3: Cross multiply
198,412x = 468,286 × 468,286 - Step 4: Simplify right side
198,412x = 219,291,777,796 - Step 5: Solve for x
x = 219,291,777,796/198,412 - Step 6: Final answer
x = 1,105,234.45
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.