Finding the Third Proportional to 184,320 and 281,952
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Solution
The third proportional to 184,320 and 281,952 is: 431,298.45
Step by Step Solution
- Step 1: Write the proportion equation
184,320 : 281,952 = 281,952 : x - Step 2: Convert to fraction form
184,320/281,952 = 281,952/x - Step 3: Cross multiply
184,320x = 281,952 × 281,952 - Step 4: Simplify right side
184,320x = 79,496,930,304 - Step 5: Solve for x
x = 79,496,930,304/184,320 - Step 6: Final answer
x = 431,298.45
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.