Finding the Third Proportional to 192,258.09 and 414,097.63
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Solution
The third proportional to 192,258.09 and 414,097.63 is: 891,909.66
Step by Step Solution
- Step 1: Write the proportion equation
192,258.09 : 414,097.63 = 414,097.63 : x - Step 2: Convert to fraction form
192,258.09/414,097.63 = 414,097.63/x - Step 3: Cross multiply
192,258.09x = 414,097.63 × 414,097.63 - Step 4: Simplify right side
192,258.09x = 171,476,846,265.78 - Step 5: Solve for x
x = 171,476,846,265.78/192,258.09 - Step 6: Final answer
x = 891,909.66
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.