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Finding the Third Proportional to 149,785.50 and 325,815

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Solution

The third proportional to 149,785.50 and 325,815 is: 708,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,785.50 : 325,815 = 325,815 : x
  2. Step 2: Convert to fraction form
    149,785.50/325,815 = 325,815/x
  3. Step 3: Cross multiply
    149,785.50x = 325,815 × 325,815
  4. Step 4: Simplify right side
    149,785.50x = 106,155,414,225
  5. Step 5: Solve for x
    x = 106,155,414,225/149,785.50
  6. Step 6: Final answer
    x = 708,716.23

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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.