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Finding the Third Proportional to 230,769 and 349,227

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Solution

The third proportional to 230,769 and 349,227 is: 528,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 349,227 = 349,227 : x
  2. Step 2: Convert to fraction form
    230,769/349,227 = 349,227/x
  3. Step 3: Cross multiply
    230,769x = 349,227 × 349,227
  4. Step 4: Simplify right side
    230,769x = 121,959,497,529
  5. Step 5: Solve for x
    x = 121,959,497,529/230,769
  6. Step 6: Final answer
    x = 528,491.68

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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.