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Finding the Third Proportional to 149,200 and 223,914

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Solution

The third proportional to 149,200 and 223,914 is: 336,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,200 : 223,914 = 223,914 : x
  2. Step 2: Convert to fraction form
    149,200/223,914 = 223,914/x
  3. Step 3: Cross multiply
    149,200x = 223,914 × 223,914
  4. Step 4: Simplify right side
    149,200x = 50,137,479,396
  5. Step 5: Solve for x
    x = 50,137,479,396/149,200
  6. Step 6: Final answer
    x = 336,042.09

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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.