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Finding the Third Proportional to 192,058 and 254,854.50

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Solution

The third proportional to 192,058 and 254,854.50 is: 338,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,058 : 254,854.50 = 254,854.50 : x
  2. Step 2: Convert to fraction form
    192,058/254,854.50 = 254,854.50/x
  3. Step 3: Cross multiply
    192,058x = 254,854.50 × 254,854.50
  4. Step 4: Simplify right side
    192,058x = 64,950,816,170.25
  5. Step 5: Solve for x
    x = 64,950,816,170.25/192,058
  6. Step 6: Final answer
    x = 338,183.34

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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.