Finding the Third Proportional to 123,664 and 269,252
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Solution
The third proportional to 123,664 and 269,252 is: 586,238.84
Step by Step Solution
- Step 1: Write the proportion equation
123,664 : 269,252 = 269,252 : x - Step 2: Convert to fraction form
123,664/269,252 = 269,252/x - Step 3: Cross multiply
123,664x = 269,252 × 269,252 - Step 4: Simplify right side
123,664x = 72,496,639,504 - Step 5: Solve for x
x = 72,496,639,504/123,664 - Step 6: Final answer
x = 586,238.84
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.