Finding the Third Proportional to 232,782 and 371,923.50
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Solution
The third proportional to 232,782 and 371,923.50 is: 594,234.48
Step by Step Solution
- Step 1: Write the proportion equation
232,782 : 371,923.50 = 371,923.50 : x - Step 2: Convert to fraction form
232,782/371,923.50 = 371,923.50/x - Step 3: Cross multiply
232,782x = 371,923.50 × 371,923.50 - Step 4: Simplify right side
232,782x = 138,327,089,852.25 - Step 5: Solve for x
x = 138,327,089,852.25/232,782 - Step 6: Final answer
x = 594,234.48
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.