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Finding the Third Proportional to 218,108 and 319,962

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Solution

The third proportional to 218,108 and 319,962 is: 469,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,108 : 319,962 = 319,962 : x
  2. Step 2: Convert to fraction form
    218,108/319,962 = 319,962/x
  3. Step 3: Cross multiply
    218,108x = 319,962 × 319,962
  4. Step 4: Simplify right side
    218,108x = 102,375,681,444
  5. Step 5: Solve for x
    x = 102,375,681,444/218,108
  6. Step 6: Final answer
    x = 469,380.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.