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Finding the Third Proportional to 171,729 and 262,701

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Solution

The third proportional to 171,729 and 262,701 is: 401,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,729 : 262,701 = 262,701 : x
  2. Step 2: Convert to fraction form
    171,729/262,701 = 262,701/x
  3. Step 3: Cross multiply
    171,729x = 262,701 × 262,701
  4. Step 4: Simplify right side
    171,729x = 69,011,815,401
  5. Step 5: Solve for x
    x = 69,011,815,401/171,729
  6. Step 6: Final answer
    x = 401,864.66

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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.