Finding the Third Proportional to 78,455 and 172,746
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Solution
The third proportional to 78,455 and 172,746 is: 380,360.47
Step by Step Solution
- Step 1: Write the proportion equation
78,455 : 172,746 = 172,746 : x - Step 2: Convert to fraction form
78,455/172,746 = 172,746/x - Step 3: Cross multiply
78,455x = 172,746 × 172,746 - Step 4: Simplify right side
78,455x = 29,841,180,516 - Step 5: Solve for x
x = 29,841,180,516/78,455 - Step 6: Final answer
x = 380,360.47
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.