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Finding the Third Proportional to 202,494 and 321,826

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Solution

The third proportional to 202,494 and 321,826 is: 511,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,494 : 321,826 = 321,826 : x
  2. Step 2: Convert to fraction form
    202,494/321,826 = 321,826/x
  3. Step 3: Cross multiply
    202,494x = 321,826 × 321,826
  4. Step 4: Simplify right side
    202,494x = 103,571,974,276
  5. Step 5: Solve for x
    x = 103,571,974,276/202,494
  6. Step 6: Final answer
    x = 511,481.69

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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.