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Finding the Third Proportional to 204,694 and 301,187

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Solution

The third proportional to 204,694 and 301,187 is: 443,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694 : 301,187 = 301,187 : x
  2. Step 2: Convert to fraction form
    204,694/301,187 = 301,187/x
  3. Step 3: Cross multiply
    204,694x = 301,187 × 301,187
  4. Step 4: Simplify right side
    204,694x = 90,713,608,969
  5. Step 5: Solve for x
    x = 90,713,608,969/204,694
  6. Step 6: Final answer
    x = 443,166.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.