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

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Solution

The third proportional to 149,758 and 325,758 is: 708,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758 : 325,758 = 325,758 : x
  2. Step 2: Convert to fraction form
    149,758/325,758 = 325,758/x
  3. Step 3: Cross multiply
    149,758x = 325,758 × 325,758
  4. Step 4: Simplify right side
    149,758x = 106,118,274,564
  5. Step 5: Solve for x
    x = 106,118,274,564/149,758
  6. Step 6: Final answer
    x = 708,598.37

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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.