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Finding the Third Proportional to 101,385 and 220,050

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Solution

The third proportional to 101,385 and 220,050 is: 477,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,385 : 220,050 = 220,050 : x
  2. Step 2: Convert to fraction form
    101,385/220,050 = 220,050/x
  3. Step 3: Cross multiply
    101,385x = 220,050 × 220,050
  4. Step 4: Simplify right side
    101,385x = 48,422,002,500
  5. Step 5: Solve for x
    x = 48,422,002,500/101,385
  6. Step 6: Final answer
    x = 477,605.19

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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.