Finding the Third Proportional to 205,228 and 308,436
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Solution
The third proportional to 205,228 and 308,436 is: 463,546.72
Step by Step Solution
- Step 1: Write the proportion equation
205,228 : 308,436 = 308,436 : x - Step 2: Convert to fraction form
205,228/308,436 = 308,436/x - Step 3: Cross multiply
205,228x = 308,436 × 308,436 - Step 4: Simplify right side
205,228x = 95,132,766,096 - Step 5: Solve for x
x = 95,132,766,096/205,228 - Step 6: Final answer
x = 463,546.72
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.