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Finding the Third Proportional to 175,071.75 and 384,183.75

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Solution

The third proportional to 175,071.75 and 384,183.75 is: 843,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,071.75 : 384,183.75 = 384,183.75 : x
  2. Step 2: Convert to fraction form
    175,071.75/384,183.75 = 384,183.75/x
  3. Step 3: Cross multiply
    175,071.75x = 384,183.75 × 384,183.75
  4. Step 4: Simplify right side
    175,071.75x = 147,597,153,764.06
  5. Step 5: Solve for x
    x = 147,597,153,764.06/175,071.75
  6. Step 6: Final answer
    x = 843,066.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.