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Finding the Third Proportional to 135,016 and 278,676

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Solution

The third proportional to 135,016 and 278,676 is: 575,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,016 : 278,676 = 278,676 : x
  2. Step 2: Convert to fraction form
    135,016/278,676 = 278,676/x
  3. Step 3: Cross multiply
    135,016x = 278,676 × 278,676
  4. Step 4: Simplify right side
    135,016x = 77,660,312,976
  5. Step 5: Solve for x
    x = 77,660,312,976/135,016
  6. Step 6: Final answer
    x = 575,193.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.