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Finding the Third Proportional to 100,292.50 and 220,267

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Solution

The third proportional to 100,292.50 and 220,267 is: 483,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292.50 : 220,267 = 220,267 : x
  2. Step 2: Convert to fraction form
    100,292.50/220,267 = 220,267/x
  3. Step 3: Cross multiply
    100,292.50x = 220,267 × 220,267
  4. Step 4: Simplify right side
    100,292.50x = 48,517,551,289
  5. Step 5: Solve for x
    x = 48,517,551,289/100,292.50
  6. Step 6: Final answer
    x = 483,760.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.