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Finding the Third Proportional to 103,524 and 220,170

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Solution

The third proportional to 103,524 and 220,170 is: 468,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524 : 220,170 = 220,170 : x
  2. Step 2: Convert to fraction form
    103,524/220,170 = 220,170/x
  3. Step 3: Cross multiply
    103,524x = 220,170 × 220,170
  4. Step 4: Simplify right side
    103,524x = 48,474,828,900
  5. Step 5: Solve for x
    x = 48,474,828,900/103,524
  6. Step 6: Final answer
    x = 468,247.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.