Finding the Third Proportional to 197,424 and 305,364
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Solution
The third proportional to 197,424 and 305,364 is: 472,319.34
Step by Step Solution
- Step 1: Write the proportion equation
197,424 : 305,364 = 305,364 : x - Step 2: Convert to fraction form
197,424/305,364 = 305,364/x - Step 3: Cross multiply
197,424x = 305,364 × 305,364 - Step 4: Simplify right side
197,424x = 93,247,172,496 - Step 5: Solve for x
x = 93,247,172,496/197,424 - Step 6: Final answer
x = 472,319.34
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.