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Finding the Third Proportional to 233,133.75 and 354,260.25

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Solution

The third proportional to 233,133.75 and 354,260.25 is: 538,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.75 : 354,260.25 = 354,260.25 : x
  2. Step 2: Convert to fraction form
    233,133.75/354,260.25 = 354,260.25/x
  3. Step 3: Cross multiply
    233,133.75x = 354,260.25 × 354,260.25
  4. Step 4: Simplify right side
    233,133.75x = 125,500,324,730.06
  5. Step 5: Solve for x
    x = 125,500,324,730.06/233,133.75
  6. Step 6: Final answer
    x = 538,318.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.