Finding the Third Proportional to 109,070 and 231,322
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Solution
The third proportional to 109,070 and 231,322 is: 490,601.15
Step by Step Solution
- Step 1: Write the proportion equation
109,070 : 231,322 = 231,322 : x - Step 2: Convert to fraction form
109,070/231,322 = 231,322/x - Step 3: Cross multiply
109,070x = 231,322 × 231,322 - Step 4: Simplify right side
109,070x = 53,509,867,684 - Step 5: Solve for x
x = 53,509,867,684/109,070 - Step 6: Final answer
x = 490,601.15
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.