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Finding the Third Proportional to 149,494 and 223,828

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Solution

The third proportional to 149,494 and 223,828 is: 335,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,494 : 223,828 = 223,828 : x
  2. Step 2: Convert to fraction form
    149,494/223,828 = 223,828/x
  3. Step 3: Cross multiply
    149,494x = 223,828 × 223,828
  4. Step 4: Simplify right side
    149,494x = 50,098,973,584
  5. Step 5: Solve for x
    x = 50,098,973,584/149,494
  6. Step 6: Final answer
    x = 335,123.64

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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.