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Finding the Third Proportional to 123,390.44 and 186,604.41

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Solution

The third proportional to 123,390.44 and 186,604.41 is: 282,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,390.44 : 186,604.41 = 186,604.41 : x
  2. Step 2: Convert to fraction form
    123,390.44/186,604.41 = 186,604.41/x
  3. Step 3: Cross multiply
    123,390.44x = 186,604.41 × 186,604.41
  4. Step 4: Simplify right side
    123,390.44x = 34,821,204,431.92
  5. Step 5: Solve for x
    x = 34,821,204,431.92/123,390.44
  6. Step 6: Final answer
    x = 282,203.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.