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Finding the Third Proportional to 141,936 and 236,548

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Solution

The third proportional to 141,936 and 236,548 is: 394,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,936 : 236,548 = 236,548 : x
  2. Step 2: Convert to fraction form
    141,936/236,548 = 236,548/x
  3. Step 3: Cross multiply
    141,936x = 236,548 × 236,548
  4. Step 4: Simplify right side
    141,936x = 55,954,956,304
  5. Step 5: Solve for x
    x = 55,954,956,304/141,936
  6. Step 6: Final answer
    x = 394,226.67

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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.