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Finding the Third Proportional to 206,533 and 305,961

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Solution

The third proportional to 206,533 and 305,961 is: 453,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,533 : 305,961 = 305,961 : x
  2. Step 2: Convert to fraction form
    206,533/305,961 = 305,961/x
  3. Step 3: Cross multiply
    206,533x = 305,961 × 305,961
  4. Step 4: Simplify right side
    206,533x = 93,612,133,521
  5. Step 5: Solve for x
    x = 93,612,133,521/206,533
  6. Step 6: Final answer
    x = 453,255.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.