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Finding the Third Proportional to 143,949 and 304,512

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Solution

The third proportional to 143,949 and 304,512 is: 644,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,949 : 304,512 = 304,512 : x
  2. Step 2: Convert to fraction form
    143,949/304,512 = 304,512/x
  3. Step 3: Cross multiply
    143,949x = 304,512 × 304,512
  4. Step 4: Simplify right side
    143,949x = 92,727,558,144
  5. Step 5: Solve for x
    x = 92,727,558,144/143,949
  6. Step 6: Final answer
    x = 644,169.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.