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Finding the Third Proportional to 230,828.50 and 347,761.50

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Solution

The third proportional to 230,828.50 and 347,761.50 is: 523,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,828.50 : 347,761.50 = 347,761.50 : x
  2. Step 2: Convert to fraction form
    230,828.50/347,761.50 = 347,761.50/x
  3. Step 3: Cross multiply
    230,828.50x = 347,761.50 × 347,761.50
  4. Step 4: Simplify right side
    230,828.50x = 120,938,060,882.25
  5. Step 5: Solve for x
    x = 120,938,060,882.25/230,828.50
  6. Step 6: Final answer
    x = 523,930.37

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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.