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Finding the Third Proportional to 217,944 and 337,608

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Solution

The third proportional to 217,944 and 337,608 is: 522,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,944 : 337,608 = 337,608 : x
  2. Step 2: Convert to fraction form
    217,944/337,608 = 337,608/x
  3. Step 3: Cross multiply
    217,944x = 337,608 × 337,608
  4. Step 4: Simplify right side
    217,944x = 113,979,161,664
  5. Step 5: Solve for x
    x = 113,979,161,664/217,944
  6. Step 6: Final answer
    x = 522,974.53

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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.