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Finding the Third Proportional to 232,884.75 and 351,540.75

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Solution

The third proportional to 232,884.75 and 351,540.75 is: 530,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884.75 : 351,540.75 = 351,540.75 : x
  2. Step 2: Convert to fraction form
    232,884.75/351,540.75 = 351,540.75/x
  3. Step 3: Cross multiply
    232,884.75x = 351,540.75 × 351,540.75
  4. Step 4: Simplify right side
    232,884.75x = 123,580,898,910.56
  5. Step 5: Solve for x
    x = 123,580,898,910.56/232,884.75
  6. Step 6: Final answer
    x = 530,652.60

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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.