Finding the Third Proportional to 189,920 and 281,952
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Solution
The third proportional to 189,920 and 281,952 is: 418,581.14
Step by Step Solution
- Step 1: Write the proportion equation
189,920 : 281,952 = 281,952 : x - Step 2: Convert to fraction form
189,920/281,952 = 281,952/x - Step 3: Cross multiply
189,920x = 281,952 × 281,952 - Step 4: Simplify right side
189,920x = 79,496,930,304 - Step 5: Solve for x
x = 79,496,930,304/189,920 - Step 6: Final answer
x = 418,581.14
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.