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Finding the Third Proportional to 133,384 and 281,780

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Solution

The third proportional to 133,384 and 281,780 is: 595,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384 : 281,780 = 281,780 : x
  2. Step 2: Convert to fraction form
    133,384/281,780 = 281,780/x
  3. Step 3: Cross multiply
    133,384x = 281,780 × 281,780
  4. Step 4: Simplify right side
    133,384x = 79,399,968,400
  5. Step 5: Solve for x
    x = 79,399,968,400/133,384
  6. Step 6: Final answer
    x = 595,273.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.