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Finding the Third Proportional to 174,919.50 and 365,375.25

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Solution

The third proportional to 174,919.50 and 365,375.25 is: 763,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,919.50 : 365,375.25 = 365,375.25 : x
  2. Step 2: Convert to fraction form
    174,919.50/365,375.25 = 365,375.25/x
  3. Step 3: Cross multiply
    174,919.50x = 365,375.25 × 365,375.25
  4. Step 4: Simplify right side
    174,919.50x = 133,499,073,312.56
  5. Step 5: Solve for x
    x = 133,499,073,312.56/174,919.50
  6. Step 6: Final answer
    x = 763,202.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.