Finding the Third Proportional to 198,041 and 298,008
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Solution
The third proportional to 198,041 and 298,008 is: 448,436.27
Step by Step Solution
- Step 1: Write the proportion equation
198,041 : 298,008 = 298,008 : x - Step 2: Convert to fraction form
198,041/298,008 = 298,008/x - Step 3: Cross multiply
198,041x = 298,008 × 298,008 - Step 4: Simplify right side
198,041x = 88,808,768,064 - Step 5: Solve for x
x = 88,808,768,064/198,041 - Step 6: Final answer
x = 448,436.27
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.