Finding the Third Proportional to 187,826 and 442,942
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Solution
The third proportional to 187,826 and 442,942 is: 1,044,571.12
Step by Step Solution
- Step 1: Write the proportion equation
187,826 : 442,942 = 442,942 : x - Step 2: Convert to fraction form
187,826/442,942 = 442,942/x - Step 3: Cross multiply
187,826x = 442,942 × 442,942 - Step 4: Simplify right side
187,826x = 196,197,615,364 - Step 5: Solve for x
x = 196,197,615,364/187,826 - Step 6: Final answer
x = 1,044,571.12
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.