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Finding the Third Proportional to 138,541 and 214,940

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Solution

The third proportional to 138,541 and 214,940 is: 333,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,541 : 214,940 = 214,940 : x
  2. Step 2: Convert to fraction form
    138,541/214,940 = 214,940/x
  3. Step 3: Cross multiply
    138,541x = 214,940 × 214,940
  4. Step 4: Simplify right side
    138,541x = 46,199,203,600
  5. Step 5: Solve for x
    x = 46,199,203,600/138,541
  6. Step 6: Final answer
    x = 333,469.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.