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Finding the Third Proportional to 134,736 and 284,052

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Solution

The third proportional to 134,736 and 284,052 is: 598,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,736 : 284,052 = 284,052 : x
  2. Step 2: Convert to fraction form
    134,736/284,052 = 284,052/x
  3. Step 3: Cross multiply
    134,736x = 284,052 × 284,052
  4. Step 4: Simplify right side
    134,736x = 80,685,538,704
  5. Step 5: Solve for x
    x = 80,685,538,704/134,736
  6. Step 6: Final answer
    x = 598,841.73

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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.