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Finding the Third Proportional to 149,104 and 221,631

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Solution

The third proportional to 149,104 and 221,631 is: 329,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,104 : 221,631 = 221,631 : x
  2. Step 2: Convert to fraction form
    149,104/221,631 = 221,631/x
  3. Step 3: Cross multiply
    149,104x = 221,631 × 221,631
  4. Step 4: Simplify right side
    149,104x = 49,120,300,161
  5. Step 5: Solve for x
    x = 49,120,300,161/149,104
  6. Step 6: Final answer
    x = 329,436.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.