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Finding the Third Proportional to 141,911 and 236,510

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Solution

The third proportional to 141,911 and 236,510 is: 394,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,911 : 236,510 = 236,510 : x
  2. Step 2: Convert to fraction form
    141,911/236,510 = 236,510/x
  3. Step 3: Cross multiply
    141,911x = 236,510 × 236,510
  4. Step 4: Simplify right side
    141,911x = 55,936,980,100
  5. Step 5: Solve for x
    x = 55,936,980,100/141,911
  6. Step 6: Final answer
    x = 394,169.44

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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.