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Finding the Third Proportional to 133,233 and 204,791

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Solution

The third proportional to 133,233 and 204,791 is: 314,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,233 : 204,791 = 204,791 : x
  2. Step 2: Convert to fraction form
    133,233/204,791 = 204,791/x
  3. Step 3: Cross multiply
    133,233x = 204,791 × 204,791
  4. Step 4: Simplify right side
    133,233x = 41,939,353,681
  5. Step 5: Solve for x
    x = 41,939,353,681/133,233
  6. Step 6: Final answer
    x = 314,782.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.