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Finding the Third Proportional to 140,296 and 300,329

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Solution

The third proportional to 140,296 and 300,329 is: 642,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,296 : 300,329 = 300,329 : x
  2. Step 2: Convert to fraction form
    140,296/300,329 = 300,329/x
  3. Step 3: Cross multiply
    140,296x = 300,329 × 300,329
  4. Step 4: Simplify right side
    140,296x = 90,197,508,241
  5. Step 5: Solve for x
    x = 90,197,508,241/140,296
  6. Step 6: Final answer
    x = 642,908.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.