Finding the Third Proportional to 108,816 and 230,496
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Solution
The third proportional to 108,816 and 230,496 is: 488,240.76
Step by Step Solution
- Step 1: Write the proportion equation
108,816 : 230,496 = 230,496 : x - Step 2: Convert to fraction form
108,816/230,496 = 230,496/x - Step 3: Cross multiply
108,816x = 230,496 × 230,496 - Step 4: Simplify right side
108,816x = 53,128,406,016 - Step 5: Solve for x
x = 53,128,406,016/108,816 - Step 6: Final answer
x = 488,240.76
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.