Finding the Third Proportional to 292 and 546.50
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Solution
The third proportional to 292 and 546.50 is: 1,022.82
Step by Step Solution
- Step 1: Write the proportion equation
292 : 546.50 = 546.50 : x - Step 2: Convert to fraction form
292/546.50 = 546.50/x - Step 3: Cross multiply
292x = 546.50 × 546.50 - Step 4: Simplify right side
292x = 298,662.25 - Step 5: Solve for x
x = 298,662.25/292 - Step 6: Final answer
x = 1,022.82
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Why These Related Problems?
These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.