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Finding the Third Proportional to 102,372 and 222,228

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Solution

The third proportional to 102,372 and 222,228 is: 482,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,372 : 222,228 = 222,228 : x
  2. Step 2: Convert to fraction form
    102,372/222,228 = 222,228/x
  3. Step 3: Cross multiply
    102,372x = 222,228 × 222,228
  4. Step 4: Simplify right side
    102,372x = 49,385,283,984
  5. Step 5: Solve for x
    x = 49,385,283,984/102,372
  6. Step 6: Final answer
    x = 482,410.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.