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Finding the Third Proportional to 234,676 and 336,291

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Solution

The third proportional to 234,676 and 336,291 is: 481,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,676 : 336,291 = 336,291 : x
  2. Step 2: Convert to fraction form
    234,676/336,291 = 336,291/x
  3. Step 3: Cross multiply
    234,676x = 336,291 × 336,291
  4. Step 4: Simplify right side
    234,676x = 113,091,636,681
  5. Step 5: Solve for x
    x = 113,091,636,681/234,676
  6. Step 6: Final answer
    x = 481,905.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.