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Finding the Third Proportional to 222,218 and 335,261

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Solution

The third proportional to 222,218 and 335,261 is: 505,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,218 : 335,261 = 335,261 : x
  2. Step 2: Convert to fraction form
    222,218/335,261 = 335,261/x
  3. Step 3: Cross multiply
    222,218x = 335,261 × 335,261
  4. Step 4: Simplify right side
    222,218x = 112,399,938,121
  5. Step 5: Solve for x
    x = 112,399,938,121/222,218
  6. Step 6: Final answer
    x = 505,809.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.