Finding the Third Proportional to 230,100 and 492,184
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Solution
The third proportional to 230,100 and 492,184 is: 1,052,781.79
Step by Step Solution
- Step 1: Write the proportion equation
230,100 : 492,184 = 492,184 : x - Step 2: Convert to fraction form
230,100/492,184 = 492,184/x - Step 3: Cross multiply
230,100x = 492,184 × 492,184 - Step 4: Simplify right side
230,100x = 242,245,089,856 - Step 5: Solve for x
x = 242,245,089,856/230,100 - Step 6: Final answer
x = 1,052,781.79
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.