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Finding the Third Proportional to 140,224 and 304,107

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Solution

The third proportional to 140,224 and 304,107 is: 659,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224 : 304,107 = 304,107 : x
  2. Step 2: Convert to fraction form
    140,224/304,107 = 304,107/x
  3. Step 3: Cross multiply
    140,224x = 304,107 × 304,107
  4. Step 4: Simplify right side
    140,224x = 92,481,067,449
  5. Step 5: Solve for x
    x = 92,481,067,449/140,224
  6. Step 6: Final answer
    x = 659,523.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.