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Finding the Third Proportional to 150,853 and 222,759

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Solution

The third proportional to 150,853 and 222,759 is: 328,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,853 : 222,759 = 222,759 : x
  2. Step 2: Convert to fraction form
    150,853/222,759 = 222,759/x
  3. Step 3: Cross multiply
    150,853x = 222,759 × 222,759
  4. Step 4: Simplify right side
    150,853x = 49,621,572,081
  5. Step 5: Solve for x
    x = 49,621,572,081/150,853
  6. Step 6: Final answer
    x = 328,939.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.