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Finding the Third Proportional to 149,758 and 325,754

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Solution

The third proportional to 149,758 and 325,754 is: 708,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758 : 325,754 = 325,754 : x
  2. Step 2: Convert to fraction form
    149,758/325,754 = 325,754/x
  3. Step 3: Cross multiply
    149,758x = 325,754 × 325,754
  4. Step 4: Simplify right side
    149,758x = 106,115,668,516
  5. Step 5: Solve for x
    x = 106,115,668,516/149,758
  6. Step 6: Final answer
    x = 708,580.97

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