Finding the Third Proportional to 231,820 and 330,880
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Solution
The third proportional to 231,820 and 330,880 is: 472,269.75
Step by Step Solution
- Step 1: Write the proportion equation
231,820 : 330,880 = 330,880 : x - Step 2: Convert to fraction form
231,820/330,880 = 330,880/x - Step 3: Cross multiply
231,820x = 330,880 × 330,880 - Step 4: Simplify right side
231,820x = 109,481,574,400 - Step 5: Solve for x
x = 109,481,574,400/231,820 - Step 6: Final answer
x = 472,269.75
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.