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Finding the Third Proportional to 149,866 and 313,500

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Solution

The third proportional to 149,866 and 313,500 is: 655,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866 : 313,500 = 313,500 : x
  2. Step 2: Convert to fraction form
    149,866/313,500 = 313,500/x
  3. Step 3: Cross multiply
    149,866x = 313,500 × 313,500
  4. Step 4: Simplify right side
    149,866x = 98,282,250,000
  5. Step 5: Solve for x
    x = 98,282,250,000/149,866
  6. Step 6: Final answer
    x = 655,800.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.