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Finding the Third Proportional to 155,966 and 222,285

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Solution

The third proportional to 155,966 and 222,285 is: 316,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,966 : 222,285 = 222,285 : x
  2. Step 2: Convert to fraction form
    155,966/222,285 = 222,285/x
  3. Step 3: Cross multiply
    155,966x = 222,285 × 222,285
  4. Step 4: Simplify right side
    155,966x = 49,410,621,225
  5. Step 5: Solve for x
    x = 49,410,621,225/155,966
  6. Step 6: Final answer
    x = 316,803.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.