Finding the Third Proportional to 208,154 and 431,076
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Solution
The third proportional to 208,154 and 431,076 is: 892,735.75
Step by Step Solution
- Step 1: Write the proportion equation
208,154 : 431,076 = 431,076 : x - Step 2: Convert to fraction form
208,154/431,076 = 431,076/x - Step 3: Cross multiply
208,154x = 431,076 × 431,076 - Step 4: Simplify right side
208,154x = 185,826,517,776 - Step 5: Solve for x
x = 185,826,517,776/208,154 - Step 6: Final answer
x = 892,735.75
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.