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Finding the Third Proportional to 149,800 and 326,052

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Solution

The third proportional to 149,800 and 326,052 is: 709,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,800 : 326,052 = 326,052 : x
  2. Step 2: Convert to fraction form
    149,800/326,052 = 326,052/x
  3. Step 3: Cross multiply
    149,800x = 326,052 × 326,052
  4. Step 4: Simplify right side
    149,800x = 106,309,906,704
  5. Step 5: Solve for x
    x = 106,309,906,704/149,800
  6. Step 6: Final answer
    x = 709,678.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.