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Finding the Third Proportional to 140,536 and 331,742

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Solution

The third proportional to 140,536 and 331,742 is: 783,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,536 : 331,742 = 331,742 : x
  2. Step 2: Convert to fraction form
    140,536/331,742 = 331,742/x
  3. Step 3: Cross multiply
    140,536x = 331,742 × 331,742
  4. Step 4: Simplify right side
    140,536x = 110,052,754,564
  5. Step 5: Solve for x
    x = 110,052,754,564/140,536
  6. Step 6: Final answer
    x = 783,092.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.