Finding the Third Proportional to 83,546 and 183,708
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Solution
The third proportional to 83,546 and 183,708 is: 403,952.66
Step by Step Solution
- Step 1: Write the proportion equation
83,546 : 183,708 = 183,708 : x - Step 2: Convert to fraction form
83,546/183,708 = 183,708/x - Step 3: Cross multiply
83,546x = 183,708 × 183,708 - Step 4: Simplify right side
83,546x = 33,748,629,264 - Step 5: Solve for x
x = 33,748,629,264/83,546 - Step 6: Final answer
x = 403,952.66
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.