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Finding the Third Proportional to 119,415 and 251,790

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Solution

The third proportional to 119,415 and 251,790 is: 530,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,415 : 251,790 = 251,790 : x
  2. Step 2: Convert to fraction form
    119,415/251,790 = 251,790/x
  3. Step 3: Cross multiply
    119,415x = 251,790 × 251,790
  4. Step 4: Simplify right side
    119,415x = 63,398,204,100
  5. Step 5: Solve for x
    x = 63,398,204,100/119,415
  6. Step 6: Final answer
    x = 530,906.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.