Finding the Third Proportional to 178,920 and 273,996
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Solution
The third proportional to 178,920 and 273,996 is: 419,594.28
Step by Step Solution
- Step 1: Write the proportion equation
178,920 : 273,996 = 273,996 : x - Step 2: Convert to fraction form
178,920/273,996 = 273,996/x - Step 3: Cross multiply
178,920x = 273,996 × 273,996 - Step 4: Simplify right side
178,920x = 75,073,808,016 - Step 5: Solve for x
x = 75,073,808,016/178,920 - Step 6: Final answer
x = 419,594.28
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.