Finding the Third Proportional to 197,086 and 423,698
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Solution
The third proportional to 197,086 and 423,698 is: 910,871.37
Step by Step Solution
- Step 1: Write the proportion equation
197,086 : 423,698 = 423,698 : x - Step 2: Convert to fraction form
197,086/423,698 = 423,698/x - Step 3: Cross multiply
197,086x = 423,698 × 423,698 - Step 4: Simplify right side
197,086x = 179,519,995,204 - Step 5: Solve for x
x = 179,519,995,204/197,086 - Step 6: Final answer
x = 910,871.37
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.