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Finding the Third Proportional to 149,738 and 226,394

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Solution

The third proportional to 149,738 and 226,394 is: 342,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,738 : 226,394 = 226,394 : x
  2. Step 2: Convert to fraction form
    149,738/226,394 = 226,394/x
  3. Step 3: Cross multiply
    149,738x = 226,394 × 226,394
  4. Step 4: Simplify right side
    149,738x = 51,254,243,236
  5. Step 5: Solve for x
    x = 51,254,243,236/149,738
  6. Step 6: Final answer
    x = 342,292.83

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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.