Finding the Third Proportional to 178 and 465
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Solution
The third proportional to 178 and 465 is: 1,214.75
Step by Step Solution
- Step 1: Write the proportion equation
178 : 465 = 465 : x - Step 2: Convert to fraction form
178/465 = 465/x - Step 3: Cross multiply
178x = 465 × 465 - Step 4: Simplify right side
178x = 216,225 - Step 5: Solve for x
x = 216,225/178 - Step 6: Final answer
x = 1,214.75
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These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.