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Finding the Third Proportional to 208,951.50 and 313,425

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Solution

The third proportional to 208,951.50 and 313,425 is: 470,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.50 : 313,425 = 313,425 : x
  2. Step 2: Convert to fraction form
    208,951.50/313,425 = 313,425/x
  3. Step 3: Cross multiply
    208,951.50x = 313,425 × 313,425
  4. Step 4: Simplify right side
    208,951.50x = 98,235,230,625
  5. Step 5: Solve for x
    x = 98,235,230,625/208,951.50
  6. Step 6: Final answer
    x = 470,134.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.