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Finding the Third Proportional to 149,872 and 323,734

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Solution

The third proportional to 149,872 and 323,734 is: 699,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,872 : 323,734 = 323,734 : x
  2. Step 2: Convert to fraction form
    149,872/323,734 = 323,734/x
  3. Step 3: Cross multiply
    149,872x = 323,734 × 323,734
  4. Step 4: Simplify right side
    149,872x = 104,803,702,756
  5. Step 5: Solve for x
    x = 104,803,702,756/149,872
  6. Step 6: Final answer
    x = 699,288.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.