Finding the Third Proportional to 278,275.50 and 314,725.50
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Solution
The third proportional to 278,275.50 and 314,725.50 is: 355,949.91
Step by Step Solution
- Step 1: Write the proportion equation
278,275.50 : 314,725.50 = 314,725.50 : x - Step 2: Convert to fraction form
278,275.50/314,725.50 = 314,725.50/x - Step 3: Cross multiply
278,275.50x = 314,725.50 × 314,725.50 - Step 4: Simplify right side
278,275.50x = 99,052,140,350.25 - Step 5: Solve for x
x = 99,052,140,350.25/278,275.50 - Step 6: Final answer
x = 355,949.91
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.