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Finding the Third Proportional to 101,328 and 220,494

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Solution

The third proportional to 101,328 and 220,494 is: 479,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,328 : 220,494 = 220,494 : x
  2. Step 2: Convert to fraction form
    101,328/220,494 = 220,494/x
  3. Step 3: Cross multiply
    101,328x = 220,494 × 220,494
  4. Step 4: Simplify right side
    101,328x = 48,617,604,036
  5. Step 5: Solve for x
    x = 48,617,604,036/101,328
  6. Step 6: Final answer
    x = 479,804.24

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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.