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Finding the Third Proportional to 230,168 and 366,398

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Solution

The third proportional to 230,168 and 366,398 is: 583,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,168 : 366,398 = 366,398 : x
  2. Step 2: Convert to fraction form
    230,168/366,398 = 366,398/x
  3. Step 3: Cross multiply
    230,168x = 366,398 × 366,398
  4. Step 4: Simplify right side
    230,168x = 134,247,494,404
  5. Step 5: Solve for x
    x = 134,247,494,404/230,168
  6. Step 6: Final answer
    x = 583,258.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.