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Finding the Third Proportional to 101,307.38 and 220,452.75

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Solution

The third proportional to 101,307.38 and 220,452.75 is: 479,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,307.38 : 220,452.75 = 220,452.75 : x
  2. Step 2: Convert to fraction form
    101,307.38/220,452.75 = 220,452.75/x
  3. Step 3: Cross multiply
    101,307.38x = 220,452.75 × 220,452.75
  4. Step 4: Simplify right side
    101,307.38x = 48,599,414,982.56
  5. Step 5: Solve for x
    x = 48,599,414,982.56/101,307.38
  6. Step 6: Final answer
    x = 479,722.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.