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Finding the Third Proportional to 149,170 and 323,738

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Solution

The third proportional to 149,170 and 323,738 is: 702,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,170 : 323,738 = 323,738 : x
  2. Step 2: Convert to fraction form
    149,170/323,738 = 323,738/x
  3. Step 3: Cross multiply
    149,170x = 323,738 × 323,738
  4. Step 4: Simplify right side
    149,170x = 104,806,292,644
  5. Step 5: Solve for x
    x = 104,806,292,644/149,170
  6. Step 6: Final answer
    x = 702,596.32

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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.