Finding the Third Proportional to 238,157 and 509,068
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Solution
The third proportional to 238,157 and 509,068 is: 1,088,148.69
Step by Step Solution
- Step 1: Write the proportion equation
238,157 : 509,068 = 509,068 : x - Step 2: Convert to fraction form
238,157/509,068 = 509,068/x - Step 3: Cross multiply
238,157x = 509,068 × 509,068 - Step 4: Simplify right side
238,157x = 259,150,228,624 - Step 5: Solve for x
x = 259,150,228,624/238,157 - Step 6: Final answer
x = 1,088,148.69
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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.