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Finding the Third Proportional to 233,149.50 and 354,273.75

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Solution

The third proportional to 233,149.50 and 354,273.75 is: 538,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,149.50 : 354,273.75 = 354,273.75 : x
  2. Step 2: Convert to fraction form
    233,149.50/354,273.75 = 354,273.75/x
  3. Step 3: Cross multiply
    233,149.50x = 354,273.75 × 354,273.75
  4. Step 4: Simplify right side
    233,149.50x = 125,509,889,939.06
  5. Step 5: Solve for x
    x = 125,509,889,939.06/233,149.50
  6. Step 6: Final answer
    x = 538,323.65

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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.