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Finding the Third Proportional to 222,028 and 329,610

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Solution

The third proportional to 222,028 and 329,610 is: 489,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,028 : 329,610 = 329,610 : x
  2. Step 2: Convert to fraction form
    222,028/329,610 = 329,610/x
  3. Step 3: Cross multiply
    222,028x = 329,610 × 329,610
  4. Step 4: Simplify right side
    222,028x = 108,642,752,100
  5. Step 5: Solve for x
    x = 108,642,752,100/222,028
  6. Step 6: Final answer
    x = 489,320.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.