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Finding the Third Proportional to 238,134 and 323,412

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Solution

The third proportional to 238,134 and 323,412 is: 439,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,134 : 323,412 = 323,412 : x
  2. Step 2: Convert to fraction form
    238,134/323,412 = 323,412/x
  3. Step 3: Cross multiply
    238,134x = 323,412 × 323,412
  4. Step 4: Simplify right side
    238,134x = 104,595,321,744
  5. Step 5: Solve for x
    x = 104,595,321,744/238,134
  6. Step 6: Final answer
    x = 439,228.84

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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.