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Finding the Third Proportional to 201,619 and 304,049

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Solution

The third proportional to 201,619 and 304,049 is: 458,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,619 : 304,049 = 304,049 : x
  2. Step 2: Convert to fraction form
    201,619/304,049 = 304,049/x
  3. Step 3: Cross multiply
    201,619x = 304,049 × 304,049
  4. Step 4: Simplify right side
    201,619x = 92,445,794,401
  5. Step 5: Solve for x
    x = 92,445,794,401/201,619
  6. Step 6: Final answer
    x = 458,517.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.