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Finding the Third Proportional to 141,918 and 236,521

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Solution

The third proportional to 141,918 and 236,521 is: 394,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,918 : 236,521 = 236,521 : x
  2. Step 2: Convert to fraction form
    141,918/236,521 = 236,521/x
  3. Step 3: Cross multiply
    141,918x = 236,521 × 236,521
  4. Step 4: Simplify right side
    141,918x = 55,942,183,441
  5. Step 5: Solve for x
    x = 55,942,183,441/141,918
  6. Step 6: Final answer
    x = 394,186.67

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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.