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Finding the Third Proportional to 238,122 and 323,394

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Solution

The third proportional to 238,122 and 323,394 is: 439,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,122 : 323,394 = 323,394 : x
  2. Step 2: Convert to fraction form
    238,122/323,394 = 323,394/x
  3. Step 3: Cross multiply
    238,122x = 323,394 × 323,394
  4. Step 4: Simplify right side
    238,122x = 104,583,679,236
  5. Step 5: Solve for x
    x = 104,583,679,236/238,122
  6. Step 6: Final answer
    x = 439,202.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.