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Finding the Third Proportional to 177,363 and 280,800

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Solution

The third proportional to 177,363 and 280,800 is: 444,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,363 : 280,800 = 280,800 : x
  2. Step 2: Convert to fraction form
    177,363/280,800 = 280,800/x
  3. Step 3: Cross multiply
    177,363x = 280,800 × 280,800
  4. Step 4: Simplify right side
    177,363x = 78,848,640,000
  5. Step 5: Solve for x
    x = 78,848,640,000/177,363
  6. Step 6: Final answer
    x = 444,560.82

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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.