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Finding the Third Proportional to 189,168.75 and 395,862.75

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Solution

The third proportional to 189,168.75 and 395,862.75 is: 828,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,168.75 : 395,862.75 = 395,862.75 : x
  2. Step 2: Convert to fraction form
    189,168.75/395,862.75 = 395,862.75/x
  3. Step 3: Cross multiply
    189,168.75x = 395,862.75 × 395,862.75
  4. Step 4: Simplify right side
    189,168.75x = 156,707,316,837.56
  5. Step 5: Solve for x
    x = 156,707,316,837.56/189,168.75
  6. Step 6: Final answer
    x = 828,399.60

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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.