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Finding the Third Proportional to 271,433 and 356,934

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Solution

The third proportional to 271,433 and 356,934 is: 469,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,433 : 356,934 = 356,934 : x
  2. Step 2: Convert to fraction form
    271,433/356,934 = 356,934/x
  3. Step 3: Cross multiply
    271,433x = 356,934 × 356,934
  4. Step 4: Simplify right side
    271,433x = 127,401,880,356
  5. Step 5: Solve for x
    x = 127,401,880,356/271,433
  6. Step 6: Final answer
    x = 469,367.69

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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.