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Finding the Third Proportional to 136,083 and 298,734

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Solution

The third proportional to 136,083 and 298,734 is: 655,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,083 : 298,734 = 298,734 : x
  2. Step 2: Convert to fraction form
    136,083/298,734 = 298,734/x
  3. Step 3: Cross multiply
    136,083x = 298,734 × 298,734
  4. Step 4: Simplify right side
    136,083x = 89,242,002,756
  5. Step 5: Solve for x
    x = 89,242,002,756/136,083
  6. Step 6: Final answer
    x = 655,790.97

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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.