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Finding the Third Proportional to 232,296 and 347,532

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Solution

The third proportional to 232,296 and 347,532 is: 519,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,296 : 347,532 = 347,532 : x
  2. Step 2: Convert to fraction form
    232,296/347,532 = 347,532/x
  3. Step 3: Cross multiply
    232,296x = 347,532 × 347,532
  4. Step 4: Simplify right side
    232,296x = 120,778,491,024
  5. Step 5: Solve for x
    x = 120,778,491,024/232,296
  6. Step 6: Final answer
    x = 519,933.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.