Finding the Third Proportional to 83,478 and 182,772
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Solution
The third proportional to 83,478 and 182,772 is: 400,172.55
Step by Step Solution
- Step 1: Write the proportion equation
83,478 : 182,772 = 182,772 : x - Step 2: Convert to fraction form
83,478/182,772 = 182,772/x - Step 3: Cross multiply
83,478x = 182,772 × 182,772 - Step 4: Simplify right side
83,478x = 33,405,603,984 - Step 5: Solve for x
x = 33,405,603,984/83,478 - Step 6: Final answer
x = 400,172.55
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.