Finding the Third Proportional to 229,920 and 354,724
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Solution
The third proportional to 229,920 and 354,724 is: 547,273.47
Step by Step Solution
- Step 1: Write the proportion equation
229,920 : 354,724 = 354,724 : x - Step 2: Convert to fraction form
229,920/354,724 = 354,724/x - Step 3: Cross multiply
229,920x = 354,724 × 354,724 - Step 4: Simplify right side
229,920x = 125,829,116,176 - Step 5: Solve for x
x = 125,829,116,176/229,920 - Step 6: Final answer
x = 547,273.47
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.