Finding the Third Proportional to 78,196 and 170,506
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Solution
The third proportional to 78,196 and 170,506 is: 371,787.51
Step by Step Solution
- Step 1: Write the proportion equation
78,196 : 170,506 = 170,506 : x - Step 2: Convert to fraction form
78,196/170,506 = 170,506/x - Step 3: Cross multiply
78,196x = 170,506 × 170,506 - Step 4: Simplify right side
78,196x = 29,072,296,036 - Step 5: Solve for x
x = 29,072,296,036/78,196 - Step 6: Final answer
x = 371,787.51
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.