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Finding the Third Proportional to 192,032 and 301,251

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Solution

The third proportional to 192,032 and 301,251 is: 472,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,032 : 301,251 = 301,251 : x
  2. Step 2: Convert to fraction form
    192,032/301,251 = 301,251/x
  3. Step 3: Cross multiply
    192,032x = 301,251 × 301,251
  4. Step 4: Simplify right side
    192,032x = 90,752,165,001
  5. Step 5: Solve for x
    x = 90,752,165,001/192,032
  6. Step 6: Final answer
    x = 472,588.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.