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Finding the Third Proportional to 222,299.75 and 467,830

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Solution

The third proportional to 222,299.75 and 467,830 is: 984,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,299.75 : 467,830 = 467,830 : x
  2. Step 2: Convert to fraction form
    222,299.75/467,830 = 467,830/x
  3. Step 3: Cross multiply
    222,299.75x = 467,830 × 467,830
  4. Step 4: Simplify right side
    222,299.75x = 218,864,908,900
  5. Step 5: Solve for x
    x = 218,864,908,900/222,299.75
  6. Step 6: Final answer
    x = 984,548.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.