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Finding the Third Proportional to 222,850 and 335,334

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Solution

The third proportional to 222,850 and 335,334 is: 504,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,850 : 335,334 = 335,334 : x
  2. Step 2: Convert to fraction form
    222,850/335,334 = 335,334/x
  3. Step 3: Cross multiply
    222,850x = 335,334 × 335,334
  4. Step 4: Simplify right side
    222,850x = 112,448,891,556
  5. Step 5: Solve for x
    x = 112,448,891,556/222,850
  6. Step 6: Final answer
    x = 504,594.53

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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.