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Finding the Third Proportional to 167,921.50 and 354,795

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Solution

The third proportional to 167,921.50 and 354,795 is: 749,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,921.50 : 354,795 = 354,795 : x
  2. Step 2: Convert to fraction form
    167,921.50/354,795 = 354,795/x
  3. Step 3: Cross multiply
    167,921.50x = 354,795 × 354,795
  4. Step 4: Simplify right side
    167,921.50x = 125,879,492,025
  5. Step 5: Solve for x
    x = 125,879,492,025/167,921.50
  6. Step 6: Final answer
    x = 749,632.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.