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Finding the Third Proportional to 149,969.25 and 354,024

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Solution

The third proportional to 149,969.25 and 354,024 is: 835,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,969.25 : 354,024 = 354,024 : x
  2. Step 2: Convert to fraction form
    149,969.25/354,024 = 354,024/x
  3. Step 3: Cross multiply
    149,969.25x = 354,024 × 354,024
  4. Step 4: Simplify right side
    149,969.25x = 125,332,992,576
  5. Step 5: Solve for x
    x = 125,332,992,576/149,969.25
  6. Step 6: Final answer
    x = 835,724.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.