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Finding the Third Proportional to 271,446 and 356,951

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Solution

The third proportional to 271,446 and 356,951 is: 469,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,446 : 356,951 = 356,951 : x
  2. Step 2: Convert to fraction form
    271,446/356,951 = 356,951/x
  3. Step 3: Cross multiply
    271,446x = 356,951 × 356,951
  4. Step 4: Simplify right side
    271,446x = 127,414,016,401
  5. Step 5: Solve for x
    x = 127,414,016,401/271,446
  6. Step 6: Final answer
    x = 469,389.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.