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Finding the Third Proportional to 222,028 and 338,604

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Solution

The third proportional to 222,028 and 338,604 is: 516,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,028 : 338,604 = 338,604 : x
  2. Step 2: Convert to fraction form
    222,028/338,604 = 338,604/x
  3. Step 3: Cross multiply
    222,028x = 338,604 × 338,604
  4. Step 4: Simplify right side
    222,028x = 114,652,668,816
  5. Step 5: Solve for x
    x = 114,652,668,816/222,028
  6. Step 6: Final answer
    x = 516,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.