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Finding the Third Proportional to 199,080 and 416,601

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Solution

The third proportional to 199,080 and 416,601 is: 871,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,080 : 416,601 = 416,601 : x
  2. Step 2: Convert to fraction form
    199,080/416,601 = 416,601/x
  3. Step 3: Cross multiply
    199,080x = 416,601 × 416,601
  4. Step 4: Simplify right side
    199,080x = 173,556,393,201
  5. Step 5: Solve for x
    x = 173,556,393,201/199,080
  6. Step 6: Final answer
    x = 871,792.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.