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Finding the Third Proportional to 231,096 and 344,727

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Solution

The third proportional to 231,096 and 344,727 is: 514,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,096 : 344,727 = 344,727 : x
  2. Step 2: Convert to fraction form
    231,096/344,727 = 344,727/x
  3. Step 3: Cross multiply
    231,096x = 344,727 × 344,727
  4. Step 4: Simplify right side
    231,096x = 118,836,704,529
  5. Step 5: Solve for x
    x = 118,836,704,529/231,096
  6. Step 6: Final answer
    x = 514,230.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.