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Finding the Third Proportional to 192,385.50 and 262,082.25

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Solution

The third proportional to 192,385.50 and 262,082.25 is: 357,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,385.50 : 262,082.25 = 262,082.25 : x
  2. Step 2: Convert to fraction form
    192,385.50/262,082.25 = 262,082.25/x
  3. Step 3: Cross multiply
    192,385.50x = 262,082.25 × 262,082.25
  4. Step 4: Simplify right side
    192,385.50x = 68,687,105,765.06
  5. Step 5: Solve for x
    x = 68,687,105,765.06/192,385.50
  6. Step 6: Final answer
    x = 357,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.