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Finding the Third Proportional to 149,026 and 323,450

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Solution

The third proportional to 149,026 and 323,450 is: 702,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,026 : 323,450 = 323,450 : x
  2. Step 2: Convert to fraction form
    149,026/323,450 = 323,450/x
  3. Step 3: Cross multiply
    149,026x = 323,450 × 323,450
  4. Step 4: Simplify right side
    149,026x = 104,619,902,500
  5. Step 5: Solve for x
    x = 104,619,902,500/149,026
  6. Step 6: Final answer
    x = 702,024.50

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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.