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

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Solution

The third proportional to 222,850 and 335,335 is: 504,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,850 : 335,335 = 335,335 : x
  2. Step 2: Convert to fraction form
    222,850/335,335 = 335,335/x
  3. Step 3: Cross multiply
    222,850x = 335,335 × 335,335
  4. Step 4: Simplify right side
    222,850x = 112,449,562,225
  5. Step 5: Solve for x
    x = 112,449,562,225/222,850
  6. Step 6: Final answer
    x = 504,597.54

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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.