Finding the Third Proportional to 83,548 and 178,744
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Solution
The third proportional to 83,548 and 178,744 is: 382,407.93
Step by Step Solution
- Step 1: Write the proportion equation
83,548 : 178,744 = 178,744 : x - Step 2: Convert to fraction form
83,548/178,744 = 178,744/x - Step 3: Cross multiply
83,548x = 178,744 × 178,744 - Step 4: Simplify right side
83,548x = 31,949,417,536 - Step 5: Solve for x
x = 31,949,417,536/83,548 - Step 6: Final answer
x = 382,407.93
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.