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Finding the Third Proportional to 133,834 and 201,885

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Solution

The third proportional to 133,834 and 201,885 is: 304,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,834 : 201,885 = 201,885 : x
  2. Step 2: Convert to fraction form
    133,834/201,885 = 201,885/x
  3. Step 3: Cross multiply
    133,834x = 201,885 × 201,885
  4. Step 4: Simplify right side
    133,834x = 40,757,553,225
  5. Step 5: Solve for x
    x = 40,757,553,225/133,834
  6. Step 6: Final answer
    x = 304,538.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.