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Finding the Third Proportional to 149,467 and 222,072

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Solution

The third proportional to 149,467 and 222,072 is: 329,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,467 : 222,072 = 222,072 : x
  2. Step 2: Convert to fraction form
    149,467/222,072 = 222,072/x
  3. Step 3: Cross multiply
    149,467x = 222,072 × 222,072
  4. Step 4: Simplify right side
    149,467x = 49,315,973,184
  5. Step 5: Solve for x
    x = 49,315,973,184/149,467
  6. Step 6: Final answer
    x = 329,945.56

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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.