Finding the Third Proportional to 144,752 and 314,284
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Solution
The third proportional to 144,752 and 314,284 is: 682,370.07
Step by Step Solution
- Step 1: Write the proportion equation
144,752 : 314,284 = 314,284 : x - Step 2: Convert to fraction form
144,752/314,284 = 314,284/x - Step 3: Cross multiply
144,752x = 314,284 × 314,284 - Step 4: Simplify right side
144,752x = 98,774,432,656 - Step 5: Solve for x
x = 98,774,432,656/144,752 - Step 6: Final answer
x = 682,370.07
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.