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Finding the Third Proportional to 149,804 and 326,059

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Solution

The third proportional to 149,804 and 326,059 is: 709,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,804 : 326,059 = 326,059 : x
  2. Step 2: Convert to fraction form
    149,804/326,059 = 326,059/x
  3. Step 3: Cross multiply
    149,804x = 326,059 × 326,059
  4. Step 4: Simplify right side
    149,804x = 106,314,471,481
  5. Step 5: Solve for x
    x = 106,314,471,481/149,804
  6. Step 6: Final answer
    x = 709,690.47

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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.