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Finding the Third Proportional to 231,046 and 309,049

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Solution

The third proportional to 231,046 and 309,049 is: 413,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,046 : 309,049 = 309,049 : x
  2. Step 2: Convert to fraction form
    231,046/309,049 = 309,049/x
  3. Step 3: Cross multiply
    231,046x = 309,049 × 309,049
  4. Step 4: Simplify right side
    231,046x = 95,511,284,401
  5. Step 5: Solve for x
    x = 95,511,284,401/231,046
  6. Step 6: Final answer
    x = 413,386.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.