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Finding the Third Proportional to 103,578 and 217,608

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Solution

The third proportional to 103,578 and 217,608 is: 457,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578 : 217,608 = 217,608 : x
  2. Step 2: Convert to fraction form
    103,578/217,608 = 217,608/x
  3. Step 3: Cross multiply
    103,578x = 217,608 × 217,608
  4. Step 4: Simplify right side
    103,578x = 47,353,241,664
  5. Step 5: Solve for x
    x = 47,353,241,664/103,578
  6. Step 6: Final answer
    x = 457,174.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.