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Finding the Third Proportional to 149,744 and 226,175

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Solution

The third proportional to 149,744 and 226,175 is: 341,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,744 : 226,175 = 226,175 : x
  2. Step 2: Convert to fraction form
    149,744/226,175 = 226,175/x
  3. Step 3: Cross multiply
    149,744x = 226,175 × 226,175
  4. Step 4: Simplify right side
    149,744x = 51,155,130,625
  5. Step 5: Solve for x
    x = 51,155,130,625/149,744
  6. Step 6: Final answer
    x = 341,617.23

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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.