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Finding the Third Proportional to 192,930 and 301,743

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Solution

The third proportional to 192,930 and 301,743 is: 471,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,930 : 301,743 = 301,743 : x
  2. Step 2: Convert to fraction form
    192,930/301,743 = 301,743/x
  3. Step 3: Cross multiply
    192,930x = 301,743 × 301,743
  4. Step 4: Simplify right side
    192,930x = 91,048,838,049
  5. Step 5: Solve for x
    x = 91,048,838,049/192,930
  6. Step 6: Final answer
    x = 471,926.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.