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Finding the Third Proportional to 196,129 and 293,930

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Solution

The third proportional to 196,129 and 293,930 is: 440,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,129 : 293,930 = 293,930 : x
  2. Step 2: Convert to fraction form
    196,129/293,930 = 293,930/x
  3. Step 3: Cross multiply
    196,129x = 293,930 × 293,930
  4. Step 4: Simplify right side
    196,129x = 86,394,844,900
  5. Step 5: Solve for x
    x = 86,394,844,900/196,129
  6. Step 6: Final answer
    x = 440,500.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.