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Finding the Third Proportional to 227,344 and 344,172

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Solution

The third proportional to 227,344 and 344,172 is: 521,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,344 : 344,172 = 344,172 : x
  2. Step 2: Convert to fraction form
    227,344/344,172 = 344,172/x
  3. Step 3: Cross multiply
    227,344x = 344,172 × 344,172
  4. Step 4: Simplify right side
    227,344x = 118,454,365,584
  5. Step 5: Solve for x
    x = 118,454,365,584/227,344
  6. Step 6: Final answer
    x = 521,035.81

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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.