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Finding the Third Proportional to 231,576 and 346,500

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Solution

The third proportional to 231,576 and 346,500 is: 518,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,576 : 346,500 = 346,500 : x
  2. Step 2: Convert to fraction form
    231,576/346,500 = 346,500/x
  3. Step 3: Cross multiply
    231,576x = 346,500 × 346,500
  4. Step 4: Simplify right side
    231,576x = 120,062,250,000
  5. Step 5: Solve for x
    x = 120,062,250,000/231,576
  6. Step 6: Final answer
    x = 518,457.22

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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.