Finding the Third Proportional to 119,648 and 184,464
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Solution
The third proportional to 119,648 and 184,464 is: 284,392.28
Step by Step Solution
- Step 1: Write the proportion equation
119,648 : 184,464 = 184,464 : x - Step 2: Convert to fraction form
119,648/184,464 = 184,464/x - Step 3: Cross multiply
119,648x = 184,464 × 184,464 - Step 4: Simplify right side
119,648x = 34,026,967,296 - Step 5: Solve for x
x = 34,026,967,296/119,648 - Step 6: Final answer
x = 284,392.28
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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.