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Finding the Third Proportional to 141,956 and 236,578

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Solution

The third proportional to 141,956 and 236,578 is: 394,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,956 : 236,578 = 236,578 : x
  2. Step 2: Convert to fraction form
    141,956/236,578 = 236,578/x
  3. Step 3: Cross multiply
    141,956x = 236,578 × 236,578
  4. Step 4: Simplify right side
    141,956x = 55,969,150,084
  5. Step 5: Solve for x
    x = 55,969,150,084/141,956
  6. Step 6: Final answer
    x = 394,271.11

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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.