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Finding the Third Proportional to 239,049 and 349,956

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Solution

The third proportional to 239,049 and 349,956 is: 512,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,049 : 349,956 = 349,956 : x
  2. Step 2: Convert to fraction form
    239,049/349,956 = 349,956/x
  3. Step 3: Cross multiply
    239,049x = 349,956 × 349,956
  4. Step 4: Simplify right side
    239,049x = 122,469,201,936
  5. Step 5: Solve for x
    x = 122,469,201,936/239,049
  6. Step 6: Final answer
    x = 512,318.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.