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Finding the Third Proportional to 135,844.59 and 295,028.58

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Solution

The third proportional to 135,844.59 and 295,028.58 is: 640,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,844.59 : 295,028.58 = 295,028.58 : x
  2. Step 2: Convert to fraction form
    135,844.59/295,028.58 = 295,028.58/x
  3. Step 3: Cross multiply
    135,844.59x = 295,028.58 × 295,028.58
  4. Step 4: Simplify right side
    135,844.59x = 87,041,861,910.46
  5. Step 5: Solve for x
    x = 87,041,861,910.46/135,844.59
  6. Step 6: Final answer
    x = 640,745.87

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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.