Finding the Third Proportional to 197,970.50 and 431,674
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Solution
The third proportional to 197,970.50 and 431,674 is: 941,263.68
Step by Step Solution
- Step 1: Write the proportion equation
197,970.50 : 431,674 = 431,674 : x - Step 2: Convert to fraction form
197,970.50/431,674 = 431,674/x - Step 3: Cross multiply
197,970.50x = 431,674 × 431,674 - Step 4: Simplify right side
197,970.50x = 186,342,442,276 - Step 5: Solve for x
x = 186,342,442,276/197,970.50 - Step 6: Final answer
x = 941,263.68
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.