Finding the Third Proportional to 142,776 and 214,056
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Solution
The third proportional to 142,776 and 214,056 is: 320,922.08
Step by Step Solution
- Step 1: Write the proportion equation
142,776 : 214,056 = 214,056 : x - Step 2: Convert to fraction form
142,776/214,056 = 214,056/x - Step 3: Cross multiply
142,776x = 214,056 × 214,056 - Step 4: Simplify right side
142,776x = 45,819,971,136 - Step 5: Solve for x
x = 45,819,971,136/142,776 - Step 6: Final answer
x = 320,922.08
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.