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Finding the Third Proportional to 230,828 and 347,761

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Solution

The third proportional to 230,828 and 347,761 is: 523,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,828 : 347,761 = 347,761 : x
  2. Step 2: Convert to fraction form
    230,828/347,761 = 347,761/x
  3. Step 3: Cross multiply
    230,828x = 347,761 × 347,761
  4. Step 4: Simplify right side
    230,828x = 120,937,713,121
  5. Step 5: Solve for x
    x = 120,937,713,121/230,828
  6. Step 6: Final answer
    x = 523,930.00

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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.