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Finding the Third Proportional to 141,928 and 236,536

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Solution

The third proportional to 141,928 and 236,536 is: 394,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,928 : 236,536 = 236,536 : x
  2. Step 2: Convert to fraction form
    141,928/236,536 = 236,536/x
  3. Step 3: Cross multiply
    141,928x = 236,536 × 236,536
  4. Step 4: Simplify right side
    141,928x = 55,949,279,296
  5. Step 5: Solve for x
    x = 55,949,279,296/141,928
  6. Step 6: Final answer
    x = 394,208.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.