Finding the Third Proportional to 198,370 and 302,200
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Solution
The third proportional to 198,370 and 302,200 is: 460,376.27
Step by Step Solution
- Step 1: Write the proportion equation
198,370 : 302,200 = 302,200 : x - Step 2: Convert to fraction form
198,370/302,200 = 302,200/x - Step 3: Cross multiply
198,370x = 302,200 × 302,200 - Step 4: Simplify right side
198,370x = 91,324,840,000 - Step 5: Solve for x
x = 91,324,840,000/198,370 - Step 6: Final answer
x = 460,376.27
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.