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Finding the Third Proportional to 177,450.75 and 363,193.88

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Solution

The third proportional to 177,450.75 and 363,193.88 is: 743,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,450.75 : 363,193.88 = 363,193.88 : x
  2. Step 2: Convert to fraction form
    177,450.75/363,193.88 = 363,193.88/x
  3. Step 3: Cross multiply
    177,450.75x = 363,193.88 × 363,193.88
  4. Step 4: Simplify right side
    177,450.75x = 131,909,790,837.52
  5. Step 5: Solve for x
    x = 131,909,790,837.52/177,450.75
  6. Step 6: Final answer
    x = 743,360.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.