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Finding the Third Proportional to 231,491 and 347,851

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Solution

The third proportional to 231,491 and 347,851 is: 522,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,491 : 347,851 = 347,851 : x
  2. Step 2: Convert to fraction form
    231,491/347,851 = 347,851/x
  3. Step 3: Cross multiply
    231,491x = 347,851 × 347,851
  4. Step 4: Simplify right side
    231,491x = 121,000,318,201
  5. Step 5: Solve for x
    x = 121,000,318,201/231,491
  6. Step 6: Final answer
    x = 522,699.88

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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.