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Finding the Third Proportional to 221,835.38 and 362,198.81

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Solution

The third proportional to 221,835.38 and 362,198.81 is: 591,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,835.38 : 362,198.81 = 362,198.81 : x
  2. Step 2: Convert to fraction form
    221,835.38/362,198.81 = 362,198.81/x
  3. Step 3: Cross multiply
    221,835.38x = 362,198.81 × 362,198.81
  4. Step 4: Simplify right side
    221,835.38x = 131,187,979,776.41
  5. Step 5: Solve for x
    x = 131,187,979,776.41/221,835.38
  6. Step 6: Final answer
    x = 591,375.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.