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Finding the Third Proportional to 179,626.50 and 299,364.75

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Solution

The third proportional to 179,626.50 and 299,364.75 is: 498,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,626.50 : 299,364.75 = 299,364.75 : x
  2. Step 2: Convert to fraction form
    179,626.50/299,364.75 = 299,364.75/x
  3. Step 3: Cross multiply
    179,626.50x = 299,364.75 × 299,364.75
  4. Step 4: Simplify right side
    179,626.50x = 89,619,253,542.56
  5. Step 5: Solve for x
    x = 89,619,253,542.56/179,626.50
  6. Step 6: Final answer
    x = 498,920.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.