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Finding the Third Proportional to 167,769.56 and 360,563.06

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Solution

The third proportional to 167,769.56 and 360,563.06 is: 774,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,769.56 : 360,563.06 = 360,563.06 : x
  2. Step 2: Convert to fraction form
    167,769.56/360,563.06 = 360,563.06/x
  3. Step 3: Cross multiply
    167,769.56x = 360,563.06 × 360,563.06
  4. Step 4: Simplify right side
    167,769.56x = 130,005,722,039.38
  5. Step 5: Solve for x
    x = 130,005,722,039.38/167,769.56
  6. Step 6: Final answer
    x = 774,906.49

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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.