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Finding the Third Proportional to 149,149 and 225,897

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Solution

The third proportional to 149,149 and 225,897 is: 342,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,149 : 225,897 = 225,897 : x
  2. Step 2: Convert to fraction form
    149,149/225,897 = 225,897/x
  3. Step 3: Cross multiply
    149,149x = 225,897 × 225,897
  4. Step 4: Simplify right side
    149,149x = 51,029,454,609
  5. Step 5: Solve for x
    x = 51,029,454,609/149,149
  6. Step 6: Final answer
    x = 342,137.42

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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.