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Finding the Third Proportional to 232,735.50 and 355,866.75

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Solution

The third proportional to 232,735.50 and 355,866.75 is: 544,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,735.50 : 355,866.75 = 355,866.75 : x
  2. Step 2: Convert to fraction form
    232,735.50/355,866.75 = 355,866.75/x
  3. Step 3: Cross multiply
    232,735.50x = 355,866.75 × 355,866.75
  4. Step 4: Simplify right side
    232,735.50x = 126,641,143,755.56
  5. Step 5: Solve for x
    x = 126,641,143,755.56/232,735.50
  6. Step 6: Final answer
    x = 544,141.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.