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Finding the Third Proportional to 86,324.50 and 188,660

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Solution

The third proportional to 86,324.50 and 188,660 is: 412,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,324.50 : 188,660 = 188,660 : x
  2. Step 2: Convert to fraction form
    86,324.50/188,660 = 188,660/x
  3. Step 3: Cross multiply
    86,324.50x = 188,660 × 188,660
  4. Step 4: Simplify right side
    86,324.50x = 35,592,595,600
  5. Step 5: Solve for x
    x = 35,592,595,600/86,324.50
  6. Step 6: Final answer
    x = 412,311.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.