Finding the Third Proportional to 232,880 and 327,854
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Solution
The third proportional to 232,880 and 327,854 is: 461,560.65
Step by Step Solution
- Step 1: Write the proportion equation
232,880 : 327,854 = 327,854 : x - Step 2: Convert to fraction form
232,880/327,854 = 327,854/x - Step 3: Cross multiply
232,880x = 327,854 × 327,854 - Step 4: Simplify right side
232,880x = 107,488,245,316 - Step 5: Solve for x
x = 107,488,245,316/232,880 - Step 6: Final answer
x = 461,560.65
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.