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Finding the Third Proportional to 204,021 and 306,031

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Solution

The third proportional to 204,021 and 306,031 is: 459,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,021 : 306,031 = 306,031 : x
  2. Step 2: Convert to fraction form
    204,021/306,031 = 306,031/x
  3. Step 3: Cross multiply
    204,021x = 306,031 × 306,031
  4. Step 4: Simplify right side
    204,021x = 93,654,972,961
  5. Step 5: Solve for x
    x = 93,654,972,961/204,021
  6. Step 6: Final answer
    x = 459,045.75

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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.