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Finding the Third Proportional to 230,793.75 and 354,262.50

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Solution

The third proportional to 230,793.75 and 354,262.50 is: 543,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,793.75 : 354,262.50 = 354,262.50 : x
  2. Step 2: Convert to fraction form
    230,793.75/354,262.50 = 354,262.50/x
  3. Step 3: Cross multiply
    230,793.75x = 354,262.50 × 354,262.50
  4. Step 4: Simplify right side
    230,793.75x = 125,501,918,906.25
  5. Step 5: Solve for x
    x = 125,501,918,906.25/230,793.75
  6. Step 6: Final answer
    x = 543,783.87

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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.