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Finding the Third Proportional to 227,293 and 340,939

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Solution

The third proportional to 227,293 and 340,939 is: 511,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,293 : 340,939 = 340,939 : x
  2. Step 2: Convert to fraction form
    227,293/340,939 = 340,939/x
  3. Step 3: Cross multiply
    227,293x = 340,939 × 340,939
  4. Step 4: Simplify right side
    227,293x = 116,239,401,721
  5. Step 5: Solve for x
    x = 116,239,401,721/227,293
  6. Step 6: Final answer
    x = 511,407.75

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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.