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Finding the Third Proportional to 203,826 and 308,817

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Solution

The third proportional to 203,826 and 308,817 is: 467,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,826 : 308,817 = 308,817 : x
  2. Step 2: Convert to fraction form
    203,826/308,817 = 308,817/x
  3. Step 3: Cross multiply
    203,826x = 308,817 × 308,817
  4. Step 4: Simplify right side
    203,826x = 95,367,939,489
  5. Step 5: Solve for x
    x = 95,367,939,489/203,826
  6. Step 6: Final answer
    x = 467,888.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.