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Finding the Third Proportional to 192,045.75 and 276,648.38

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Solution

The third proportional to 192,045.75 and 276,648.38 is: 398,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,045.75 : 276,648.38 = 276,648.38 : x
  2. Step 2: Convert to fraction form
    192,045.75/276,648.38 = 276,648.38/x
  3. Step 3: Cross multiply
    192,045.75x = 276,648.38 × 276,648.38
  4. Step 4: Simplify right side
    192,045.75x = 76,534,323,390.14
  5. Step 5: Solve for x
    x = 76,534,323,390.14/192,045.75
  6. Step 6: Final answer
    x = 398,521.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.