Finding the Third Proportional to 196,184 and 423,472
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Solution
The third proportional to 196,184 and 423,472 is: 914,083.38
Step by Step Solution
- Step 1: Write the proportion equation
196,184 : 423,472 = 423,472 : x - Step 2: Convert to fraction form
196,184/423,472 = 423,472/x - Step 3: Cross multiply
196,184x = 423,472 × 423,472 - Step 4: Simplify right side
196,184x = 179,328,534,784 - Step 5: Solve for x
x = 179,328,534,784/196,184 - Step 6: Final answer
x = 914,083.38
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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.