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Finding the Third Proportional to 101,308 and 218,325

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Solution

The third proportional to 101,308 and 218,325 is: 470,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,308 : 218,325 = 218,325 : x
  2. Step 2: Convert to fraction form
    101,308/218,325 = 218,325/x
  3. Step 3: Cross multiply
    101,308x = 218,325 × 218,325
  4. Step 4: Simplify right side
    101,308x = 47,665,805,625
  5. Step 5: Solve for x
    x = 47,665,805,625/101,308
  6. Step 6: Final answer
    x = 470,503.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.