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Finding the Third Proportional to 177,000.75 and 280,410.75

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Solution

The third proportional to 177,000.75 and 280,410.75 is: 444,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,000.75 : 280,410.75 = 280,410.75 : x
  2. Step 2: Convert to fraction form
    177,000.75/280,410.75 = 280,410.75/x
  3. Step 3: Cross multiply
    177,000.75x = 280,410.75 × 280,410.75
  4. Step 4: Simplify right side
    177,000.75x = 78,630,188,715.56
  5. Step 5: Solve for x
    x = 78,630,188,715.56/177,000.75
  6. Step 6: Final answer
    x = 444,236.47

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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.