Finding the Third Proportional to 148,000 and 231,920
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Solution
The third proportional to 148,000 and 231,920 is: 363,424.91
Step by Step Solution
- Step 1: Write the proportion equation
148,000 : 231,920 = 231,920 : x - Step 2: Convert to fraction form
148,000/231,920 = 231,920/x - Step 3: Cross multiply
148,000x = 231,920 × 231,920 - Step 4: Simplify right side
148,000x = 53,786,886,400 - Step 5: Solve for x
x = 53,786,886,400/148,000 - Step 6: Final answer
x = 363,424.91
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.