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Finding the Third Proportional to 149,453 and 222,063

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Solution

The third proportional to 149,453 and 222,063 is: 329,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,453 : 222,063 = 222,063 : x
  2. Step 2: Convert to fraction form
    149,453/222,063 = 222,063/x
  3. Step 3: Cross multiply
    149,453x = 222,063 × 222,063
  4. Step 4: Simplify right side
    149,453x = 49,311,975,969
  5. Step 5: Solve for x
    x = 49,311,975,969/149,453
  6. Step 6: Final answer
    x = 329,949.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.