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Finding the Third Proportional to 140,105 and 304,024

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Solution

The third proportional to 140,105 and 304,024 is: 659,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,105 : 304,024 = 304,024 : x
  2. Step 2: Convert to fraction form
    140,105/304,024 = 304,024/x
  3. Step 3: Cross multiply
    140,105x = 304,024 × 304,024
  4. Step 4: Simplify right side
    140,105x = 92,430,592,576
  5. Step 5: Solve for x
    x = 92,430,592,576/140,105
  6. Step 6: Final answer
    x = 659,723.73

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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.