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Finding the Third Proportional to 177,709.50 and 281,346.75

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Solution

The third proportional to 177,709.50 and 281,346.75 is: 445,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,709.50 : 281,346.75 = 281,346.75 : x
  2. Step 2: Convert to fraction form
    177,709.50/281,346.75 = 281,346.75/x
  3. Step 3: Cross multiply
    177,709.50x = 281,346.75 × 281,346.75
  4. Step 4: Simplify right side
    177,709.50x = 79,155,993,735.56
  5. Step 5: Solve for x
    x = 79,155,993,735.56/177,709.50
  6. Step 6: Final answer
    x = 445,423.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.