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Finding the Third Proportional to 135,758 and 298,084

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Solution

The third proportional to 135,758 and 298,084 is: 654,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,758 : 298,084 = 298,084 : x
  2. Step 2: Convert to fraction form
    135,758/298,084 = 298,084/x
  3. Step 3: Cross multiply
    135,758x = 298,084 × 298,084
  4. Step 4: Simplify right side
    135,758x = 88,854,071,056
  5. Step 5: Solve for x
    x = 88,854,071,056/135,758
  6. Step 6: Final answer
    x = 654,503.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.