Finding the Third Proportional to 189,002 and 409,036
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Solution
The third proportional to 189,002 and 409,036 is: 885,231.10
Step by Step Solution
- Step 1: Write the proportion equation
189,002 : 409,036 = 409,036 : x - Step 2: Convert to fraction form
189,002/409,036 = 409,036/x - Step 3: Cross multiply
189,002x = 409,036 × 409,036 - Step 4: Simplify right side
189,002x = 167,310,449,296 - Step 5: Solve for x
x = 167,310,449,296/189,002 - Step 6: Final answer
x = 885,231.10
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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.