Finding the Third Proportional to 198,407 and 298,062
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Solution
The third proportional to 198,407 and 298,062 is: 447,771.28
Step by Step Solution
- Step 1: Write the proportion equation
198,407 : 298,062 = 298,062 : x - Step 2: Convert to fraction form
198,407/298,062 = 298,062/x - Step 3: Cross multiply
198,407x = 298,062 × 298,062 - Step 4: Simplify right side
198,407x = 88,840,955,844 - Step 5: Solve for x
x = 88,840,955,844/198,407 - Step 6: Final answer
x = 447,771.28
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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.