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Finding the Third Proportional to 149,714 and 226,122

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Solution

The third proportional to 149,714 and 226,122 is: 341,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714 : 226,122 = 226,122 : x
  2. Step 2: Convert to fraction form
    149,714/226,122 = 226,122/x
  3. Step 3: Cross multiply
    149,714x = 226,122 × 226,122
  4. Step 4: Simplify right side
    149,714x = 51,131,158,884
  5. Step 5: Solve for x
    x = 51,131,158,884/149,714
  6. Step 6: Final answer
    x = 341,525.57

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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.