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Finding the Third Proportional to 233,520.75 and 352,428.75

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Solution

The third proportional to 233,520.75 and 352,428.75 is: 531,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,520.75 : 352,428.75 = 352,428.75 : x
  2. Step 2: Convert to fraction form
    233,520.75/352,428.75 = 352,428.75/x
  3. Step 3: Cross multiply
    233,520.75x = 352,428.75 × 352,428.75
  4. Step 4: Simplify right side
    233,520.75x = 124,206,023,826.56
  5. Step 5: Solve for x
    x = 124,206,023,826.56/233,520.75
  6. Step 6: Final answer
    x = 531,884.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.