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Finding the Third Proportional to 195,134 and 405,576

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Solution

The third proportional to 195,134 and 405,576 is: 842,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,134 : 405,576 = 405,576 : x
  2. Step 2: Convert to fraction form
    195,134/405,576 = 405,576/x
  3. Step 3: Cross multiply
    195,134x = 405,576 × 405,576
  4. Step 4: Simplify right side
    195,134x = 164,491,891,776
  5. Step 5: Solve for x
    x = 164,491,891,776/195,134
  6. Step 6: Final answer
    x = 842,968.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.