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Finding the Third Proportional to 131,244 and 281,077

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Solution

The third proportional to 131,244 and 281,077 is: 601,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,244 : 281,077 = 281,077 : x
  2. Step 2: Convert to fraction form
    131,244/281,077 = 281,077/x
  3. Step 3: Cross multiply
    131,244x = 281,077 × 281,077
  4. Step 4: Simplify right side
    131,244x = 79,004,279,929
  5. Step 5: Solve for x
    x = 79,004,279,929/131,244
  6. Step 6: Final answer
    x = 601,964.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.