Finding the Third Proportional to 282 and 433
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Solution
The third proportional to 282 and 433 is: 664.85
Step by Step Solution
- Step 1: Write the proportion equation
282 : 433 = 433 : x - Step 2: Convert to fraction form
282/433 = 433/x - Step 3: Cross multiply
282x = 433 × 433 - Step 4: Simplify right side
282x = 187,489 - Step 5: Solve for x
x = 187,489/282 - Step 6: Final answer
x = 664.85
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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.