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Finding the Third Proportional to 155,028 and 332,198

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Solution

The third proportional to 155,028 and 332,198 is: 711,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,028 : 332,198 = 332,198 : x
  2. Step 2: Convert to fraction form
    155,028/332,198 = 332,198/x
  3. Step 3: Cross multiply
    155,028x = 332,198 × 332,198
  4. Step 4: Simplify right side
    155,028x = 110,355,511,204
  5. Step 5: Solve for x
    x = 110,355,511,204/155,028
  6. Step 6: Final answer
    x = 711,842.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.