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Finding the Third Proportional to 234,732 and 351,198

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Solution

The third proportional to 234,732 and 351,198 is: 525,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,732 : 351,198 = 351,198 : x
  2. Step 2: Convert to fraction form
    234,732/351,198 = 351,198/x
  3. Step 3: Cross multiply
    234,732x = 351,198 × 351,198
  4. Step 4: Simplify right side
    234,732x = 123,340,035,204
  5. Step 5: Solve for x
    x = 123,340,035,204/234,732
  6. Step 6: Final answer
    x = 525,450.45

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Why These Related Problems?

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