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Finding the Third Proportional to 149,847.47 and 313,545.94

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Solution

The third proportional to 149,847.47 and 313,545.94 is: 656,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,847.47 : 313,545.94 = 313,545.94 : x
  2. Step 2: Convert to fraction form
    149,847.47/313,545.94 = 313,545.94/x
  3. Step 3: Cross multiply
    149,847.47x = 313,545.94 × 313,545.94
  4. Step 4: Simplify right side
    149,847.47x = 98,311,054,922.75
  5. Step 5: Solve for x
    x = 98,311,054,922.75/149,847.47
  6. Step 6: Final answer
    x = 656,074.18

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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.