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Finding the Third Proportional to 203,823 and 442,761.75

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Solution

The third proportional to 203,823 and 442,761.75 is: 961,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,823 : 442,761.75 = 442,761.75 : x
  2. Step 2: Convert to fraction form
    203,823/442,761.75 = 442,761.75/x
  3. Step 3: Cross multiply
    203,823x = 442,761.75 × 442,761.75
  4. Step 4: Simplify right side
    203,823x = 196,037,967,263.06
  5. Step 5: Solve for x
    x = 196,037,967,263.06/203,823
  6. Step 6: Final answer
    x = 961,804.93

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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.