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Finding the Third Proportional to 149,074 and 223,019

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Solution

The third proportional to 149,074 and 223,019 is: 333,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,074 : 223,019 = 223,019 : x
  2. Step 2: Convert to fraction form
    149,074/223,019 = 223,019/x
  3. Step 3: Cross multiply
    149,074x = 223,019 × 223,019
  4. Step 4: Simplify right side
    149,074x = 49,737,474,361
  5. Step 5: Solve for x
    x = 49,737,474,361/149,074
  6. Step 6: Final answer
    x = 333,642.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.