Finding the Third Proportional to 76,218 and 169,920
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Solution
The third proportional to 76,218 and 169,920 is: 378,818.74
Step by Step Solution
- Step 1: Write the proportion equation
76,218 : 169,920 = 169,920 : x - Step 2: Convert to fraction form
76,218/169,920 = 169,920/x - Step 3: Cross multiply
76,218x = 169,920 × 169,920 - Step 4: Simplify right side
76,218x = 28,872,806,400 - Step 5: Solve for x
x = 28,872,806,400/76,218 - Step 6: Final answer
x = 378,818.74
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.