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Finding the Third Proportional to 103,472 and 220,512

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Solution

The third proportional to 103,472 and 220,512 is: 469,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472 : 220,512 = 220,512 : x
  2. Step 2: Convert to fraction form
    103,472/220,512 = 220,512/x
  3. Step 3: Cross multiply
    103,472x = 220,512 × 220,512
  4. Step 4: Simplify right side
    103,472x = 48,625,542,144
  5. Step 5: Solve for x
    x = 48,625,542,144/103,472
  6. Step 6: Final answer
    x = 469,939.13

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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.