Finding the Third Proportional to 142,027.50 and 213,408
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Solution
The third proportional to 142,027.50 and 213,408 is: 320,663.07
Step by Step Solution
- Step 1: Write the proportion equation
142,027.50 : 213,408 = 213,408 : x - Step 2: Convert to fraction form
142,027.50/213,408 = 213,408/x - Step 3: Cross multiply
142,027.50x = 213,408 × 213,408 - Step 4: Simplify right side
142,027.50x = 45,542,974,464 - Step 5: Solve for x
x = 45,542,974,464/142,027.50 - Step 6: Final answer
x = 320,663.07
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.