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Finding the Third Proportional to 135,883 and 203,499

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Solution

The third proportional to 135,883 and 203,499 is: 304,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,883 : 203,499 = 203,499 : x
  2. Step 2: Convert to fraction form
    135,883/203,499 = 203,499/x
  3. Step 3: Cross multiply
    135,883x = 203,499 × 203,499
  4. Step 4: Simplify right side
    135,883x = 41,411,843,001
  5. Step 5: Solve for x
    x = 41,411,843,001/135,883
  6. Step 6: Final answer
    x = 304,761.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.