Finding the Third Proportional to 196,204 and 423,494
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Solution
The third proportional to 196,204 and 423,494 is: 914,085.18
Step by Step Solution
- Step 1: Write the proportion equation
196,204 : 423,494 = 423,494 : x - Step 2: Convert to fraction form
196,204/423,494 = 423,494/x - Step 3: Cross multiply
196,204x = 423,494 × 423,494 - Step 4: Simplify right side
196,204x = 179,347,168,036 - Step 5: Solve for x
x = 179,347,168,036/196,204 - Step 6: Final answer
x = 914,085.18
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.