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Finding the Third Proportional to 171,666 and 262,606

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Solution

The third proportional to 171,666 and 262,606 is: 401,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,666 : 262,606 = 262,606 : x
  2. Step 2: Convert to fraction form
    171,666/262,606 = 262,606/x
  3. Step 3: Cross multiply
    171,666x = 262,606 × 262,606
  4. Step 4: Simplify right side
    171,666x = 68,961,911,236
  5. Step 5: Solve for x
    x = 68,961,911,236/171,666
  6. Step 6: Final answer
    x = 401,721.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.