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Finding the Third Proportional to 171,736 and 262,724

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Solution

The third proportional to 171,736 and 262,724 is: 401,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,736 : 262,724 = 262,724 : x
  2. Step 2: Convert to fraction form
    171,736/262,724 = 262,724/x
  3. Step 3: Cross multiply
    171,736x = 262,724 × 262,724
  4. Step 4: Simplify right side
    171,736x = 69,023,900,176
  5. Step 5: Solve for x
    x = 69,023,900,176/171,736
  6. Step 6: Final answer
    x = 401,918.64

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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.