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Finding the Third Proportional to 167,077.50 and 367,234.50

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Solution

The third proportional to 167,077.50 and 367,234.50 is: 807,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,077.50 : 367,234.50 = 367,234.50 : x
  2. Step 2: Convert to fraction form
    167,077.50/367,234.50 = 367,234.50/x
  3. Step 3: Cross multiply
    167,077.50x = 367,234.50 × 367,234.50
  4. Step 4: Simplify right side
    167,077.50x = 134,861,177,990.25
  5. Step 5: Solve for x
    x = 134,861,177,990.25/167,077.50
  6. Step 6: Final answer
    x = 807,177.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.