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Finding the Third Proportional to 136,233 and 204,395

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Solution

The third proportional to 136,233 and 204,395 is: 306,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,233 : 204,395 = 204,395 : x
  2. Step 2: Convert to fraction form
    136,233/204,395 = 204,395/x
  3. Step 3: Cross multiply
    136,233x = 204,395 × 204,395
  4. Step 4: Simplify right side
    136,233x = 41,777,316,025
  5. Step 5: Solve for x
    x = 41,777,316,025/136,233
  6. Step 6: Final answer
    x = 306,660.77

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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.