Finding the Third Proportional to 192,190 and 442,378
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Solution
The third proportional to 192,190 and 442,378 is: 1,018,254.31
Step by Step Solution
- Step 1: Write the proportion equation
192,190 : 442,378 = 442,378 : x - Step 2: Convert to fraction form
192,190/442,378 = 442,378/x - Step 3: Cross multiply
192,190x = 442,378 × 442,378 - Step 4: Simplify right side
192,190x = 195,698,294,884 - Step 5: Solve for x
x = 195,698,294,884/192,190 - Step 6: Final answer
x = 1,018,254.31
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.