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Finding the Third Proportional to 191,399.75 and 230,560.75

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Solution

The third proportional to 191,399.75 and 230,560.75 is: 277,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,399.75 : 230,560.75 = 230,560.75 : x
  2. Step 2: Convert to fraction form
    191,399.75/230,560.75 = 230,560.75/x
  3. Step 3: Cross multiply
    191,399.75x = 230,560.75 × 230,560.75
  4. Step 4: Simplify right side
    191,399.75x = 53,158,259,440.56
  5. Step 5: Solve for x
    x = 53,158,259,440.56/191,399.75
  6. Step 6: Final answer
    x = 277,734.22

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.