Finding the Third Proportional to 97,782.75 and 235,482.75
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Solution
The third proportional to 97,782.75 and 235,482.75 is: 567,095.17
Step by Step Solution
- Step 1: Write the proportion equation
97,782.75 : 235,482.75 = 235,482.75 : x - Step 2: Convert to fraction form
97,782.75/235,482.75 = 235,482.75/x - Step 3: Cross multiply
97,782.75x = 235,482.75 × 235,482.75 - Step 4: Simplify right side
97,782.75x = 55,452,125,547.56 - Step 5: Solve for x
x = 55,452,125,547.56/97,782.75 - Step 6: Final answer
x = 567,095.17
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.