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Finding the Third Proportional to 192,057.50 and 254,853.75

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Solution

The third proportional to 192,057.50 and 254,853.75 is: 338,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,057.50 : 254,853.75 = 254,853.75 : x
  2. Step 2: Convert to fraction form
    192,057.50/254,853.75 = 254,853.75/x
  3. Step 3: Cross multiply
    192,057.50x = 254,853.75 × 254,853.75
  4. Step 4: Simplify right side
    192,057.50x = 64,950,433,889.06
  5. Step 5: Solve for x
    x = 64,950,433,889.06/192,057.50
  6. Step 6: Final answer
    x = 338,182.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.