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Finding the Third Proportional to 194,832 and 264,018

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Solution

The third proportional to 194,832 and 264,018 is: 357,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,832 : 264,018 = 264,018 : x
  2. Step 2: Convert to fraction form
    194,832/264,018 = 264,018/x
  3. Step 3: Cross multiply
    194,832x = 264,018 × 264,018
  4. Step 4: Simplify right side
    194,832x = 69,705,504,324
  5. Step 5: Solve for x
    x = 69,705,504,324/194,832
  6. Step 6: Final answer
    x = 357,772.36

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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.