Finding the Third Proportional to 288 and 420
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Solution
The third proportional to 288 and 420 is: 612.50
Step by Step Solution
- Step 1: Write the proportion equation
288 : 420 = 420 : x - Step 2: Convert to fraction form
288/420 = 420/x - Step 3: Cross multiply
288x = 420 × 420 - Step 4: Simplify right side
288x = 176,400 - Step 5: Solve for x
x = 176,400/288 - Step 6: Final answer
x = 612.50
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.