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Finding the Third Proportional to 198,082 and 433,592

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Solution

The third proportional to 198,082 and 433,592 is: 949,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,082 : 433,592 = 433,592 : x
  2. Step 2: Convert to fraction form
    198,082/433,592 = 433,592/x
  3. Step 3: Cross multiply
    198,082x = 433,592 × 433,592
  4. Step 4: Simplify right side
    198,082x = 188,002,022,464
  5. Step 5: Solve for x
    x = 188,002,022,464/198,082
  6. Step 6: Final answer
    x = 949,112.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.