Finding the Third Proportional to 178,440 and 276,460
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Solution
The third proportional to 178,440 and 276,460 is: 428,323.98
Step by Step Solution
- Step 1: Write the proportion equation
178,440 : 276,460 = 276,460 : x - Step 2: Convert to fraction form
178,440/276,460 = 276,460/x - Step 3: Cross multiply
178,440x = 276,460 × 276,460 - Step 4: Simplify right side
178,440x = 76,430,131,600 - Step 5: Solve for x
x = 76,430,131,600/178,440 - Step 6: Final answer
x = 428,323.98
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.