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Finding the Third Proportional to 199,082 and 416,605

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Solution

The third proportional to 199,082 and 416,605 is: 871,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,082 : 416,605 = 416,605 : x
  2. Step 2: Convert to fraction form
    199,082/416,605 = 416,605/x
  3. Step 3: Cross multiply
    199,082x = 416,605 × 416,605
  4. Step 4: Simplify right side
    199,082x = 173,559,726,025
  5. Step 5: Solve for x
    x = 173,559,726,025/199,082
  6. Step 6: Final answer
    x = 871,800.19

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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.