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Finding the Third Proportional to 149,103 and 225,018

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Solution

The third proportional to 149,103 and 225,018 is: 339,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,103 : 225,018 = 225,018 : x
  2. Step 2: Convert to fraction form
    149,103/225,018 = 225,018/x
  3. Step 3: Cross multiply
    149,103x = 225,018 × 225,018
  4. Step 4: Simplify right side
    149,103x = 50,633,100,324
  5. Step 5: Solve for x
    x = 50,633,100,324/149,103
  6. Step 6: Final answer
    x = 339,584.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.