Finding the Third Proportional to 196,164 and 301,920
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Solution
The third proportional to 196,164 and 301,920 is: 464,691.21
Step by Step Solution
- Step 1: Write the proportion equation
196,164 : 301,920 = 301,920 : x - Step 2: Convert to fraction form
196,164/301,920 = 301,920/x - Step 3: Cross multiply
196,164x = 301,920 × 301,920 - Step 4: Simplify right side
196,164x = 91,155,686,400 - Step 5: Solve for x
x = 91,155,686,400/196,164 - Step 6: Final answer
x = 464,691.21
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.