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Finding the Third Proportional to 101,241 and 219,960

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Solution

The third proportional to 101,241 and 219,960 is: 477,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,241 : 219,960 = 219,960 : x
  2. Step 2: Convert to fraction form
    101,241/219,960 = 219,960/x
  3. Step 3: Cross multiply
    101,241x = 219,960 × 219,960
  4. Step 4: Simplify right side
    101,241x = 48,382,401,600
  5. Step 5: Solve for x
    x = 48,382,401,600/101,241
  6. Step 6: Final answer
    x = 477,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.