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Finding the Third Proportional to 175,977 and 239,094

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Solution

The third proportional to 175,977 and 239,094 is: 324,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,977 : 239,094 = 239,094 : x
  2. Step 2: Convert to fraction form
    175,977/239,094 = 239,094/x
  3. Step 3: Cross multiply
    175,977x = 239,094 × 239,094
  4. Step 4: Simplify right side
    175,977x = 57,165,940,836
  5. Step 5: Solve for x
    x = 57,165,940,836/175,977
  6. Step 6: Final answer
    x = 324,848.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.