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Finding the Third Proportional to 135,826 and 295,026

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Solution

The third proportional to 135,826 and 295,026 is: 640,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,826 : 295,026 = 295,026 : x
  2. Step 2: Convert to fraction form
    135,826/295,026 = 295,026/x
  3. Step 3: Cross multiply
    135,826x = 295,026 × 295,026
  4. Step 4: Simplify right side
    135,826x = 87,040,340,676
  5. Step 5: Solve for x
    x = 87,040,340,676/135,826
  6. Step 6: Final answer
    x = 640,822.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.