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Finding the Third Proportional to 149,302 and 226,322

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Solution

The third proportional to 149,302 and 226,322 is: 343,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302 : 226,322 = 226,322 : x
  2. Step 2: Convert to fraction form
    149,302/226,322 = 226,322/x
  3. Step 3: Cross multiply
    149,302x = 226,322 × 226,322
  4. Step 4: Simplify right side
    149,302x = 51,221,647,684
  5. Step 5: Solve for x
    x = 51,221,647,684/149,302
  6. Step 6: Final answer
    x = 343,074.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.