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Finding the Third Proportional to 227,329 and 344,152

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Solution

The third proportional to 227,329 and 344,152 is: 521,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,329 : 344,152 = 344,152 : x
  2. Step 2: Convert to fraction form
    227,329/344,152 = 344,152/x
  3. Step 3: Cross multiply
    227,329x = 344,152 × 344,152
  4. Step 4: Simplify right side
    227,329x = 118,440,599,104
  5. Step 5: Solve for x
    x = 118,440,599,104/227,329
  6. Step 6: Final answer
    x = 521,009.63

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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.