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Finding the Third Proportional to 197,082 and 300,545

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Solution

The third proportional to 197,082 and 300,545 is: 458,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082 : 300,545 = 300,545 : x
  2. Step 2: Convert to fraction form
    197,082/300,545 = 300,545/x
  3. Step 3: Cross multiply
    197,082x = 300,545 × 300,545
  4. Step 4: Simplify right side
    197,082x = 90,327,297,025
  5. Step 5: Solve for x
    x = 90,327,297,025/197,082
  6. Step 6: Final answer
    x = 458,323.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.