Finding the Third Proportional to 198,370 and 430,436
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Solution
The third proportional to 198,370 and 430,436 is: 933,987.75
Step by Step Solution
- Step 1: Write the proportion equation
198,370 : 430,436 = 430,436 : x - Step 2: Convert to fraction form
198,370/430,436 = 430,436/x - Step 3: Cross multiply
198,370x = 430,436 × 430,436 - Step 4: Simplify right side
198,370x = 185,275,150,096 - Step 5: Solve for x
x = 185,275,150,096/198,370 - Step 6: Final answer
x = 933,987.75
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.