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Finding the Third Proportional to 150,766 and 313,937.50

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Solution

The third proportional to 150,766 and 313,937.50 is: 653,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,766 : 313,937.50 = 313,937.50 : x
  2. Step 2: Convert to fraction form
    150,766/313,937.50 = 313,937.50/x
  3. Step 3: Cross multiply
    150,766x = 313,937.50 × 313,937.50
  4. Step 4: Simplify right side
    150,766x = 98,556,753,906.25
  5. Step 5: Solve for x
    x = 98,556,753,906.25/150,766
  6. Step 6: Final answer
    x = 653,706.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.