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Finding the Third Proportional to 103,380 and 211,144

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Solution

The third proportional to 103,380 and 211,144 is: 431,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,380 : 211,144 = 211,144 : x
  2. Step 2: Convert to fraction form
    103,380/211,144 = 211,144/x
  3. Step 3: Cross multiply
    103,380x = 211,144 × 211,144
  4. Step 4: Simplify right side
    103,380x = 44,581,788,736
  5. Step 5: Solve for x
    x = 44,581,788,736/103,380
  6. Step 6: Final answer
    x = 431,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.