Finding the Third Proportional to 198,420 and 468,310
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Solution
The third proportional to 198,420 and 468,310 is: 1,105,303.18
Step by Step Solution
- Step 1: Write the proportion equation
198,420 : 468,310 = 468,310 : x - Step 2: Convert to fraction form
198,420/468,310 = 468,310/x - Step 3: Cross multiply
198,420x = 468,310 × 468,310 - Step 4: Simplify right side
198,420x = 219,314,256,100 - Step 5: Solve for x
x = 219,314,256,100/198,420 - Step 6: Final answer
x = 1,105,303.18
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.