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Finding the Third Proportional to 207,629.25 and 274,332.75

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Solution

The third proportional to 207,629.25 and 274,332.75 is: 362,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,629.25 : 274,332.75 = 274,332.75 : x
  2. Step 2: Convert to fraction form
    207,629.25/274,332.75 = 274,332.75/x
  3. Step 3: Cross multiply
    207,629.25x = 274,332.75 × 274,332.75
  4. Step 4: Simplify right side
    207,629.25x = 75,258,457,722.56
  5. Step 5: Solve for x
    x = 75,258,457,722.56/207,629.25
  6. Step 6: Final answer
    x = 362,465.59

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.