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Finding the Third Proportional to 149,884 and 225,816

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Solution

The third proportional to 149,884 and 225,816 is: 340,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,884 : 225,816 = 225,816 : x
  2. Step 2: Convert to fraction form
    149,884/225,816 = 225,816/x
  3. Step 3: Cross multiply
    149,884x = 225,816 × 225,816
  4. Step 4: Simplify right side
    149,884x = 50,992,865,856
  5. Step 5: Solve for x
    x = 50,992,865,856/149,884
  6. Step 6: Final answer
    x = 340,215.54

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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.