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Finding the Third Proportional to 148,178 and 222,285

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Solution

The third proportional to 148,178 and 222,285 is: 333,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,178 : 222,285 = 222,285 : x
  2. Step 2: Convert to fraction form
    148,178/222,285 = 222,285/x
  3. Step 3: Cross multiply
    148,178x = 222,285 × 222,285
  4. Step 4: Simplify right side
    148,178x = 49,410,621,225
  5. Step 5: Solve for x
    x = 49,410,621,225/148,178
  6. Step 6: Final answer
    x = 333,454.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.