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Finding the Third Proportional to 149,168 and 323,734

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Solution

The third proportional to 149,168 and 323,734 is: 702,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,168 : 323,734 = 323,734 : x
  2. Step 2: Convert to fraction form
    149,168/323,734 = 323,734/x
  3. Step 3: Cross multiply
    149,168x = 323,734 × 323,734
  4. Step 4: Simplify right side
    149,168x = 104,803,702,756
  5. Step 5: Solve for x
    x = 104,803,702,756/149,168
  6. Step 6: Final answer
    x = 702,588.38

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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.