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Finding the Third Proportional to 234,736 and 351,204

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Solution

The third proportional to 234,736 and 351,204 is: 525,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,736 : 351,204 = 351,204 : x
  2. Step 2: Convert to fraction form
    234,736/351,204 = 351,204/x
  3. Step 3: Cross multiply
    234,736x = 351,204 × 351,204
  4. Step 4: Simplify right side
    234,736x = 123,344,249,616
  5. Step 5: Solve for x
    x = 123,344,249,616/234,736
  6. Step 6: Final answer
    x = 525,459.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.