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Finding the Third Proportional to 222,232 and 338,815

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Solution

The third proportional to 222,232 and 338,815 is: 516,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,232 : 338,815 = 338,815 : x
  2. Step 2: Convert to fraction form
    222,232/338,815 = 338,815/x
  3. Step 3: Cross multiply
    222,232x = 338,815 × 338,815
  4. Step 4: Simplify right side
    222,232x = 114,795,604,225
  5. Step 5: Solve for x
    x = 114,795,604,225/222,232
  6. Step 6: Final answer
    x = 516,557.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.