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Finding the Third Proportional to 102,028 and 220,450

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Solution

The third proportional to 102,028 and 220,450 is: 476,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028 : 220,450 = 220,450 : x
  2. Step 2: Convert to fraction form
    102,028/220,450 = 220,450/x
  3. Step 3: Cross multiply
    102,028x = 220,450 × 220,450
  4. Step 4: Simplify right side
    102,028x = 48,598,202,500
  5. Step 5: Solve for x
    x = 48,598,202,500/102,028
  6. Step 6: Final answer
    x = 476,322.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.