Finding the Third Proportional to 105,290 and 227,438
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Solution
The third proportional to 105,290 and 227,438 is: 491,291.14
Step by Step Solution
- Step 1: Write the proportion equation
105,290 : 227,438 = 227,438 : x - Step 2: Convert to fraction form
105,290/227,438 = 227,438/x - Step 3: Cross multiply
105,290x = 227,438 × 227,438 - Step 4: Simplify right side
105,290x = 51,728,043,844 - Step 5: Solve for x
x = 51,728,043,844/105,290 - Step 6: Final answer
x = 491,291.14
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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.