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Finding the Third Proportional to 203,404 and 307,734

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Solution

The third proportional to 203,404 and 307,734 is: 465,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,404 : 307,734 = 307,734 : x
  2. Step 2: Convert to fraction form
    203,404/307,734 = 307,734/x
  3. Step 3: Cross multiply
    203,404x = 307,734 × 307,734
  4. Step 4: Simplify right side
    203,404x = 94,700,214,756
  5. Step 5: Solve for x
    x = 94,700,214,756/203,404
  6. Step 6: Final answer
    x = 465,576.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.