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Finding the Third Proportional to 136,639.41 and 300,180.94

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Solution

The third proportional to 136,639.41 and 300,180.94 is: 659,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,639.41 : 300,180.94 = 300,180.94 : x
  2. Step 2: Convert to fraction form
    136,639.41/300,180.94 = 300,180.94/x
  3. Step 3: Cross multiply
    136,639.41x = 300,180.94 × 300,180.94
  4. Step 4: Simplify right side
    136,639.41x = 90,108,595,238.38
  5. Step 5: Solve for x
    x = 90,108,595,238.38/136,639.41
  6. Step 6: Final answer
    x = 659,462.73

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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.