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Finding the Third Proportional to 129,812 and 279,014

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Solution

The third proportional to 129,812 and 279,014 is: 599,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,812 : 279,014 = 279,014 : x
  2. Step 2: Convert to fraction form
    129,812/279,014 = 279,014/x
  3. Step 3: Cross multiply
    129,812x = 279,014 × 279,014
  4. Step 4: Simplify right side
    129,812x = 77,848,812,196
  5. Step 5: Solve for x
    x = 77,848,812,196/129,812
  6. Step 6: Final answer
    x = 599,704.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.