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Finding the Third Proportional to 222,851 and 335,336

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Solution

The third proportional to 222,851 and 335,336 is: 504,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,851 : 335,336 = 335,336 : x
  2. Step 2: Convert to fraction form
    222,851/335,336 = 335,336/x
  3. Step 3: Cross multiply
    222,851x = 335,336 × 335,336
  4. Step 4: Simplify right side
    222,851x = 112,450,232,896
  5. Step 5: Solve for x
    x = 112,450,232,896/222,851
  6. Step 6: Final answer
    x = 504,598.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.