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Finding the Third Proportional to 118,708 and 276,034

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Solution

The third proportional to 118,708 and 276,034 is: 641,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,708 : 276,034 = 276,034 : x
  2. Step 2: Convert to fraction form
    118,708/276,034 = 276,034/x
  3. Step 3: Cross multiply
    118,708x = 276,034 × 276,034
  4. Step 4: Simplify right side
    118,708x = 76,194,769,156
  5. Step 5: Solve for x
    x = 76,194,769,156/118,708
  6. Step 6: Final answer
    x = 641,867.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.