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Finding the Third Proportional to 232,745.25 and 355,890.75

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Solution

The third proportional to 232,745.25 and 355,890.75 is: 544,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,745.25 : 355,890.75 = 355,890.75 : x
  2. Step 2: Convert to fraction form
    232,745.25/355,890.75 = 355,890.75/x
  3. Step 3: Cross multiply
    232,745.25x = 355,890.75 × 355,890.75
  4. Step 4: Simplify right side
    232,745.25x = 126,658,225,935.56
  5. Step 5: Solve for x
    x = 126,658,225,935.56/232,745.25
  6. Step 6: Final answer
    x = 544,192.53

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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.