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Finding the Third Proportional to 159,960.50 and 343,195

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Solution

The third proportional to 159,960.50 and 343,195 is: 736,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,960.50 : 343,195 = 343,195 : x
  2. Step 2: Convert to fraction form
    159,960.50/343,195 = 343,195/x
  3. Step 3: Cross multiply
    159,960.50x = 343,195 × 343,195
  4. Step 4: Simplify right side
    159,960.50x = 117,782,808,025
  5. Step 5: Solve for x
    x = 117,782,808,025/159,960.50
  6. Step 6: Final answer
    x = 736,324.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.