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Finding the Third Proportional to 134,642 and 283,864

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Solution

The third proportional to 134,642 and 283,864 is: 598,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642 : 283,864 = 283,864 : x
  2. Step 2: Convert to fraction form
    134,642/283,864 = 283,864/x
  3. Step 3: Cross multiply
    134,642x = 283,864 × 283,864
  4. Step 4: Simplify right side
    134,642x = 80,578,770,496
  5. Step 5: Solve for x
    x = 80,578,770,496/134,642
  6. Step 6: Final answer
    x = 598,466.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.