Finding the Third Proportional to 189,432 and 408,378
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Solution
The third proportional to 189,432 and 408,378 is: 880,382.36
Step by Step Solution
- Step 1: Write the proportion equation
189,432 : 408,378 = 408,378 : x - Step 2: Convert to fraction form
189,432/408,378 = 408,378/x - Step 3: Cross multiply
189,432x = 408,378 × 408,378 - Step 4: Simplify right side
189,432x = 166,772,590,884 - Step 5: Solve for x
x = 166,772,590,884/189,432 - Step 6: Final answer
x = 880,382.36
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.