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Finding the Third Proportional to 222,326 and 332,878

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Solution

The third proportional to 222,326 and 332,878 is: 498,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,326 : 332,878 = 332,878 : x
  2. Step 2: Convert to fraction form
    222,326/332,878 = 332,878/x
  3. Step 3: Cross multiply
    222,326x = 332,878 × 332,878
  4. Step 4: Simplify right side
    222,326x = 110,807,762,884
  5. Step 5: Solve for x
    x = 110,807,762,884/222,326
  6. Step 6: Final answer
    x = 498,402.18

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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.